87999912 has 384 divisors, whose sum is σ = 339628800. Its totient is φ = 20528640.

The previous prime is 87999883. The next prime is 87999929. The reversal of 87999912 is 21999978.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2378358 + ... + 2378394.

It is an arithmetic number, because the mean of its divisors is an integer number (884450).

Almost surely, 2^87999912 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 87999912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169814400).

87999912 is an abundant number, since it is smaller than the sum of its proper divisors (251628888).

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

87999912 is a wasteful number, since it uses less digits than its factorization.

87999912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The square root of 87999912 is about 9380.8268292299. The cubic root of 87999912 is about 444.7958698485.

It can be divided in two parts, 87 and 999912, that added together give a palindrome (999999).

The spelling of 87999912 in words is "eighty-seven million, nine hundred ninety-nine thousand, nine hundred twelve".