85920456 has 32 divisors (see below), whose sum is σ = 224141760. Its totient is φ = 27394752.

The previous prime is 85920427. The next prime is 85920467. The reversal of 85920456 is 65402958.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77275 + ... + 78378.

It is an arithmetic number, because the mean of its divisors is an integer number (7004430).

Almost surely, 2^85920456 is an apocalyptic number.

It is an amenable number.

85920456 is an abundant number, since it is smaller than the sum of its proper divisors (138221304).

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

85920456 is a wasteful number, since it uses less digits than its factorization.

85920456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155685 (or 155681 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 85920456 is about 9269.3287782881. The cubic root of 85920456 is about 441.2643660441.

The spelling of 85920456 in words is "eighty-five million, nine hundred twenty thousand, four hundred fifty-six".