85506624 has 112 divisors (see below), whose sum is σ = 287324800. Its totient is φ = 24427008.

The previous prime is 85506613. The next prime is 85506637. The reversal of 85506624 is 42660558.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×85506624² = 14622765495754752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8562 + ... + 15630.

It is an arithmetic number, because the mean of its divisors is an integer number (2565400).

Almost surely, 2^85506624 is an apocalyptic number.

85506624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143662400).

85506624 is an abundant number, since it is smaller than the sum of its proper divisors (201818176).

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

85506624 is a wasteful number, since it uses less digits than its factorization.

85506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7097 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 85506624 is about 9246.9791824141. The cubic root of 85506624 is about 440.5547822920.

The spelling of 85506624 in words is "eighty-five million, five hundred six thousand, six hundred twenty-four".