850124160 has 480 divisors, whose sum is σ = 3276060480. Its totient is φ = 209848320.

The previous prime is 850124153. The next prime is 850124167. The reversal of 850124160 is 61421058.

850124160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (850124153) and next prime (850124167).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×850124160² = 1445422174831411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850124167) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27423345 + ... + 27423375.

It is an arithmetic number, because the mean of its divisors is an integer number (6825126).

Almost surely, 2^850124160 is an apocalyptic number.

850124160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638030240).

850124160 is an abundant number, since it is smaller than the sum of its proper divisors (2425936320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

850124160 is a wasteful number, since it uses less digits than its factorization.

850124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 850124160 is about 29156.8887229073. Note that the first 3 decimals coincide. The cubic root of 850124160 is about 947.3143576166.

850124160 divided by its sum of digits (27) gives a triangular number (31486080 = T₇₉₃₅).

The spelling of 850124160 in words is "eight hundred fifty million, one hundred twenty-four thousand, one hundred sixty".