87537408 has 144 divisors (see below), whose sum is σ = 280600320. Its totient is φ = 23666688.

The previous prime is 87537367. The next prime is 87537409. The reversal of 87537408 is 80473578.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 87537408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87537409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101716 + ... + 102572.

Almost surely, 2^87537408 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 87537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140300160).

87537408 is an abundant number, since it is smaller than the sum of its proper divisors (193062912).

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

87537408 is a wasteful number, since it uses less digits than its factorization.

87537408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 87537408 is about 9356.1427949770. The cubic root of 87537408 is about 444.0152579774.

It can be divided in two parts, 8753 and 7408, that added together give a palindrome (16161).

The spelling of 87537408 in words is "eighty-seven million, five hundred thirty-seven thousand, four hundred eight".