87418624 has 72 divisors (see below), whose sum is σ = 188742960. Its totient is φ = 40255488.

The previous prime is 87418619. The next prime is 87418627. The reversal of 87418624 is 42681478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87418627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230467 + ... + 230845.

It is an arithmetic number, because the mean of its divisors is an integer number (2621430).

Almost surely, 2^87418624 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 87418624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94371480).

87418624 is an abundant number, since it is smaller than the sum of its proper divisors (101324336).

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

87418624 is a wasteful number, since it uses less digits than its factorization.

87418624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 87418624 is about 9349.7927249752. The cubic root of 87418624 is about 443.8143313729.

The spelling of 87418624 in words is "eighty-seven million, four hundred eighteen thousand, six hundred twenty-four".