87214624 has 96 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 34172928.

The previous prime is 87214619. The next prime is 87214679. The reversal of 87214624 is 42641278.

It is a happy number.

It is a super-2 number, since 2×87214624² = 15212781278922752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 87214624.

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, 140587 + ... + 141205.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^87214624 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 87214624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

87214624 is an abundant number, since it is smaller than the sum of its proper divisors (126521696).

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

87214624 is a wasteful number, since it uses less digits than its factorization.

87214624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 87214624 is about 9338.8770202846. The cubic root of 87214624 is about 443.4688342791.

The spelling of 87214624 in words is "eighty-seven million, two hundred fourteen thousand, six hundred twenty-four".