87414624 has 144 divisors (see below), whose sum is σ = 278211024. Its totient is φ = 25804800.

The previous prime is 87414619. The next prime is 87414659. The reversal of 87414624 is 42641478.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×87414624² = 15282632978122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129552 + ... + 130224.

It is an arithmetic number, because the mean of its divisors is an integer number (1932021).

Almost surely, 2^87414624 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 87414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139105512).

87414624 is an abundant number, since it is smaller than the sum of its proper divisors (190796400).

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

87414624 is a wasteful number, since it uses less digits than its factorization.

87414624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 87414624 is about 9349.5788140429. The cubic root of 87414624 is about 443.8075620892.

The spelling of 87414624 in words is "eighty-seven million, four hundred fourteen thousand, six hundred twenty-four".