850291920 has 60 divisors (see below), whose sum is σ = 2855566116. Its totient is φ = 226744320.

The previous prime is 850291913. The next prime is 850291921. The reversal of 850291920 is 29192058.

850291920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 227889216 + 622402704 = 15096^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850291921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589761 + ... + 591200.

Almost surely, 2^850291920 is an apocalyptic number.

850291920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

850291920 is an abundant number, since it is smaller than the sum of its proper divisors (2005274196).

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

850291920 is a wasteful number, since it uses less digits than its factorization.

850291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180980 (or 1180971 counting only the distinct ones).

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

The square root of 850291920 is about 29159.7654311553. The cubic root of 850291920 is about 947.3766665559.

The spelling of 850291920 in words is "eight hundred fifty million, two hundred ninety-one thousand, nine hundred twenty".