87152625 has 192 divisors, whose sum is σ = 204871680. Its totient is φ = 36288000.

The previous prime is 87152623. The next prime is 87152641. The reversal of 87152625 is 52625178.

It is a happy number.

It is not a de Polignac number, because 87152625 - 2¹ = 87152623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87152625.

It is not an unprimeable number, because it can be changed into a prime (87152621) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2811360 + ... + 2811390.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 2^87152625 is an apocalyptic number.

87152625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87152625 is an abundant number, since it is smaller than the sum of its proper divisors (117719055).

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

87152625 is a wasteful number, since it uses less digits than its factorization.

87152625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 87152625 is about 9335.5570267660. The cubic root of 87152625 is about 443.3637252172.

The spelling of 87152625 in words is "eighty-seven million, one hundred fifty-two thousand, six hundred twenty-five".