85977096 has 32 divisors (see below), whose sum is σ = 215302560. Its totient is φ = 28611072.

The previous prime is 85977091. The next prime is 85977097. The reversal of 85977096 is 69077958.

It is a super-3 number, since 3×85977096³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (85977091) 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, 13491 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (6728205).

Almost surely, 2^85977096 is an apocalyptic number.

It is an amenable number.

85977096 is an abundant number, since it is smaller than the sum of its proper divisors (129325464).

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

85977096 is a wasteful number, since it uses less digits than its factorization.

85977096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 85977096 is about 9272.3835123446. The cubic root of 85977096 is about 441.3613073504.

The spelling of 85977096 in words is "eighty-five million, nine hundred seventy-seven thousand, ninety-six".