87936912 has 120 divisors (see below), whose sum is σ = 293564544. Its totient is φ = 24026112.

The previous prime is 87936899. The next prime is 87936913. The reversal of 87936912 is 21963978.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (87936913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21288 + ... + 25080.

Almost surely, 2^87936912 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 87936912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146782272).

87936912 is an abundant number, since it is smaller than the sum of its proper divisors (205627632).

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

87936912 is a wasteful number, since it uses less digits than its factorization.

87936912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3828 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 87936912 is about 9377.4683150624. The cubic root of 87936912 is about 444.6896999333.

The spelling of 87936912 in words is "eighty-seven million, nine hundred thirty-six thousand, nine hundred twelve".