85993596 has 96 divisors (see below), whose sum is σ = 250629120. Its totient is φ = 25299648.

The previous prime is 85993571. The next prime is 85993603. The reversal of 85993596 is 69539958.

It is a super-2 number, since 2×85993596² = 14789797106022432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30961 + ... + 33623.

It is an arithmetic number, because the mean of its divisors is an integer number (2610720).

Almost surely, 2^85993596 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 85993596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

85993596 is an abundant number, since it is smaller than the sum of its proper divisors (164635524).

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

85993596 is a wasteful number, since it uses less digits than its factorization.

85993596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 85993596 is about 9273.2732085278. The cubic root of 85993596 is about 441.3895396592.

The spelling of 85993596 in words is "eighty-five million, nine hundred ninety-three thousand, five hundred ninety-six".