87252660 has 192 divisors, whose sum is σ = 304899840. Its totient is φ = 20528640.

The previous prime is 87252637. The next prime is 87252689. The reversal of 87252660 is 6625278.

87252660 is a `hidden beast` number, since 8 + 72 + 526 + 60 = 666.

It is a super-2 number, since 2×87252660² = 15226053354151200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219582 + ... + 219978.

It is an arithmetic number, because the mean of its divisors is an integer number (1588020).

Almost surely, 2^87252660 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 87252660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152449920).

87252660 is an abundant number, since it is smaller than the sum of its proper divisors (217647180).

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

87252660 is a wasteful number, since it uses less digits than its factorization.

87252660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87252660 is about 9340.9132315850. The cubic root of 87252660 is about 443.5332933812.

The spelling of 87252660 in words is "eighty-seven million, two hundred fifty-two thousand, six hundred sixty".