87885504 has 168 divisors, whose sum is σ = 292900608. Its totient is φ = 24675840.

The previous prime is 87885493. The next prime is 87885541. The reversal of 87885504 is 40558878.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 87885504.

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 23 ways as a sum of consecutive naturals, for example, 286119 + ... + 286425.

It is an arithmetic number, because the mean of its divisors is an integer number (1743456).

Almost surely, 2^87885504 is an apocalyptic number.

87885504 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 87885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

87885504 is an abundant number, since it is smaller than the sum of its proper divisors (205015104).

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

87885504 is a wasteful number, since it uses less digits than its factorization.

87885504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 87885504 is about 9374.7268760215. The cubic root of 87885504 is about 444.6030277051.

The spelling of 87885504 in words is "eighty-seven million, eight hundred eighty-five thousand, five hundred four".