85597568 has 64 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 36211200.

The previous prime is 85597549. The next prime is 85597571. The reversal of 85597568 is 86579558.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 73793 + ... + 74943.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^85597568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

85597568 is an abundant number, since it is smaller than the sum of its proper divisors (111809152).

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

85597568 is a wasteful number, since it uses less digits than its factorization.

85597568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 53.

The square root of 85597568 is about 9251.8953733816. The cubic root of 85597568 is about 440.7109168544.

The spelling of 85597568 in words is "eighty-five million, five hundred ninety-seven thousand, five hundred sixty-eight".