85958688 has 48 divisors (see below), whose sum is σ = 226285920. Its totient is φ = 28571136.

The previous prime is 85958651. The next prime is 85958729. The reversal of 85958688 is 88685958.

It is a tau number, because it is divible by the number of its divisors (48).

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, 39156 + ... + 41292.

It is an arithmetic number, because the mean of its divisors is an integer number (4714290).

Almost surely, 2^85958688 is an apocalyptic number.

It is an amenable number.

85958688 is an abundant number, since it is smaller than the sum of its proper divisors (140327232).

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

85958688 is a wasteful number, since it uses less digits than its factorization.

85958688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 57.

The square root of 85958688 is about 9271.3908341737. The cubic root of 85958688 is about 441.3298060971.

The spelling of 85958688 in words is "eighty-five million, nine hundred fifty-eight thousand, six hundred eighty-eight".