85956624 has 240 divisors, whose sum is σ = 285575472. Its totient is φ = 23887872.

The previous prime is 85956601. The next prime is 85956643. The reversal of 85956624 is 42665958.

85956624 is a `hidden beast` number, since 85 + 9 + 566 + 2 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3873024 + 82083600 = 1968^2 + 9060^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85956624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1177452 + ... + 1177524.

Almost surely, 2^85956624 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 85956624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142787736).

85956624 is an abundant number, since it is smaller than the sum of its proper divisors (199618848).

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

85956624 is a wasteful number, since it uses less digits than its factorization.

85956624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 85956624 is about 9271.2795233452. The cubic root of 85956624 is about 441.3262737335.

The spelling of 85956624 in words is "eighty-five million, nine hundred fifty-six thousand, six hundred twenty-four".