87537456 has 80 divisors (see below), whose sum is σ = 253976800. Its totient is φ = 28864512.

The previous prime is 87537433. The next prime is 87537469. The reversal of 87537456 is 65473578.

It is a congruent number.

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, 40860 + ... + 42948.

It is an arithmetic number, because the mean of its divisors is an integer number (3174710).

Almost surely, 2^87537456 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 87537456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126988400).

87537456 is an abundant number, since it is smaller than the sum of its proper divisors (166439344).

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

87537456 is a wasteful number, since it uses less digits than its factorization.

87537456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2191 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 87537456 is about 9356.1453601363. The cubic root of 87537456 is about 444.0153391341.

The spelling of 87537456 in words is "eighty-seven million, five hundred thirty-seven thousand, four hundred fifty-six".