850131600 has 120 divisors (see below), whose sum is σ = 2811224832. Its totient is φ = 219379200.

The previous prime is 850131547. The next prime is 850131613. The reversal of 850131600 is 6131058.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25774 + ... + 48626.

Almost surely, 2^850131600 is an apocalyptic number.

850131600 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 850131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405612416).

850131600 is an abundant number, since it is smaller than the sum of its proper divisors (1961093232).

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

850131600 is a wasteful number, since it uses less digits than its factorization.

850131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22905 (or 22894 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 850131600 is about 29157.0163082576. The cubic root of 850131600 is about 947.3171211338.

Adding to 850131600 its reverse (6131058), we get a palindrome (856262658).

The spelling of 850131600 in words is "eight hundred fifty million, one hundred thirty-one thousand, six hundred".