87505824 has 96 divisors (see below), whose sum is σ = 264249216. Its totient is φ = 24837120.

The previous prime is 87505807. The next prime is 87505841. The reversal of 87505824 is 42850578.

It is an interprime number because it is at equal distance from previous prime (87505807) and next prime (87505841).

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

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, 132054 + ... + 132714.

It is an arithmetic number, because the mean of its divisors is an integer number (2752596).

Almost surely, 2^87505824 is an apocalyptic number.

87505824 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 87505824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132124608).

87505824 is an abundant number, since it is smaller than the sum of its proper divisors (176743392).

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

87505824 is a wasteful number, since it uses less digits than its factorization.

87505824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 87505824 is about 9354.4547676495. The cubic root of 87505824 is about 443.9618504678.

The spelling of 87505824 in words is "eighty-seven million, five hundred five thousand, eight hundred twenty-four".