851290920 has 96 divisors (see below), whose sum is σ = 2774065320. Its totient is φ = 226406400.

The previous prime is 851290903. The next prime is 851290933. The reversal of 851290920 is 29092158.

It can be written as a sum of positive squares in 4 ways, for example, as 837407844 + 13883076 = 28938^2 + 3726^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 141412 + ... + 147308.

Almost surely, 2^851290920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851290920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387032660).

851290920 is an abundant number, since it is smaller than the sum of its proper divisors (1922774400).

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

851290920 is a wasteful number, since it uses less digits than its factorization.

851290920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 851290920 is about 29176.8901701329. The cubic root of 851290920 is about 947.7475426668.

The spelling of 851290920 in words is "eight hundred fifty-one million, two hundred ninety thousand, nine hundred twenty".