87124560 has 40 divisors (see below), whose sum is σ = 270086880. Its totient is φ = 23233152.

The previous prime is 87124559. The next prime is 87124573. The reversal of 87124560 is 6542178.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 181270 + ... + 181749.

It is an arithmetic number, because the mean of its divisors is an integer number (6752172).

Almost surely, 2^87124560 is an apocalyptic number.

87124560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87124560 is an abundant number, since it is smaller than the sum of its proper divisors (182962320).

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

87124560 is a wasteful number, since it uses less digits than its factorization.

87124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363035 (or 363029 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 87124560 is about 9334.0537817178. The cubic root of 87124560 is about 443.3161292562.

The spelling of 87124560 in words is "eighty-seven million, one hundred twenty-four thousand, five hundred sixty".