850153920 has 672 divisors, whose sum is σ = 3602589696. Its totient is φ = 167731200.

The previous prime is 850153897. The next prime is 850153943. The reversal of 850153920 is 29351058.

It is an interprime number because it is at equal distance from previous prime (850153897) and next prime (850153943).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16040614 + ... + 16040666.

Almost surely, 2^850153920 is an apocalyptic number.

850153920 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 850153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801294848).

850153920 is an abundant number, since it is smaller than the sum of its proper divisors (2752435776).

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

850153920 is a wasteful number, since it uses less digits than its factorization.

850153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 850153920 is about 29157.3990609588. The cubic root of 850153920 is about 947.3254115887.

The spelling of 850153920 in words is "eight hundred fifty million, one hundred fifty-three thousand, nine hundred twenty".