87624 has 24 divisors (see below), whose sum is σ = 237510. Its totient is φ = 29184.

The previous prime is 87623. The next prime is 87629. The reversal of 87624 is 42678.

87624 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 8100 = 282^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87624.

It is not an unprimeable number, because it can be changed into a prime (87623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 537 + ... + 680.

2⁸⁷⁶²⁴ is an apocalyptic number.

It is an amenable number.

87624 is an abundant number, since it is smaller than the sum of its proper divisors (149886).

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

87624 is a wasteful number, since it uses less digits than its factorization.

87624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 87624 is about 296.0135132051. The cubic root of 87624 is about 44.4161616353.

It can be divided in two parts, 876 and 24, that added together give a square (900 = 30²).

The spelling of 87624 in words is "eighty-seven thousand, six hundred twenty-four".