87087924 has 144 divisors (see below), whose sum is σ = 278328960. Its totient is φ = 22302720.

The previous prime is 87087901. The next prime is 87087937. The reversal of 87087924 is 42978078.

It is a self number, because there is not a number n which added to its sum of digits gives 87087924.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 246532 + ... + 246884.

It is an arithmetic number, because the mean of its divisors is an integer number (1932840).

Almost surely, 2^87087924 is an apocalyptic number.

87087924 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87087924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139164480).

87087924 is an abundant number, since it is smaller than the sum of its proper divisors (191241036).

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

87087924 is a wasteful number, since it uses less digits than its factorization.

87087924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87087924 is about 9332.0910839961. The cubic root of 87087924 is about 443.2539821925.

The spelling of 87087924 in words is "eighty-seven million, eighty-seven thousand, nine hundred twenty-four".