87109824 has 56 divisors (see below), whose sum is σ = 233436160. Its totient is φ = 28664064.

The previous prime is 87109817. The next prime is 87109831. The reversal of 87109824 is 42890178.

It is an interprime number because it is at equal distance from previous prime (87109817) and next prime (87109831).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12297 + ... + 18039.

Almost surely, 2^87109824 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 87109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116718080).

87109824 is an abundant number, since it is smaller than the sum of its proper divisors (146326336).

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

87109824 is a wasteful number, since it uses less digits than its factorization.

87109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 87109824 is about 9333.2643806977. The cubic root of 87109824 is about 443.2911341043.

The spelling of 87109824 in words is "eighty-seven million, one hundred nine thousand, eight hundred twenty-four".