86625504 has 96 divisors (see below), whose sum is σ = 288771840. Its totient is φ = 24748416.

The previous prime is 86625499. The next prime is 86625509. The reversal of 86625504 is 40552668.

It is an interprime number because it is at equal distance from previous prime (86625499) and next prime (86625509).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86625509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114 + ... + 13209.

It is an arithmetic number, because the mean of its divisors is an integer number (3008040).

Almost surely, 2^86625504 is an apocalyptic number.

86625504 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 86625504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144385920).

86625504 is an abundant number, since it is smaller than the sum of its proper divisors (202146336).

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

86625504 is a wasteful number, since it uses less digits than its factorization.

86625504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14349 (or 14335 counting only the distinct ones).

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

The square root of 86625504 is about 9307.2823101054. The cubic root of 86625504 is about 442.4680585964.

The spelling of 86625504 in words is "eighty-six million, six hundred twenty-five thousand, five hundred four".