85956008 has 32 divisors (see below), whose sum is σ = 167469120. Its totient is φ = 41328000.

The previous prime is 85956007. The next prime is 85956061. The reversal of 85956008 is 80065958.

It is a super-2 number, since 2×85956008² = 14776870622592128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (85956007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21443 + ... + 25133.

It is an arithmetic number, because the mean of its divisors is an integer number (5233410).

Almost surely, 2^85956008 is an apocalyptic number.

It is an amenable number.

85956008 is a deficient number, since it is larger than the sum of its proper divisors (81513112).

85956008 is a wasteful number, since it uses less digits than its factorization.

85956008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 85956008 is about 9271.2463024126. The cubic root of 85956008 is about 441.3252194900.

The spelling of 85956008 in words is "eighty-five million, nine hundred fifty-six thousand, eight".