85595652 has 72 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 27528768.

The previous prime is 85595647. The next prime is 85595669. The reversal of 85595652 is 25659558.

85595652 is a `hidden beast` number, since 8 + 5 + 595 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85595598 and 85595607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238249 + ... + 238607.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^85595652 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 85595652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

85595652 is an abundant number, since it is smaller than the sum of its proper divisors (138482748).

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

85595652 is a wasteful number, since it uses less digits than its factorization.

85595652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 85595652 is about 9251.7918264518. The cubic root of 85595652 is about 440.7076285662.

The spelling of 85595652 in words is "eighty-five million, five hundred ninety-five thousand, six hundred fifty-two".