87994872 has 96 divisors (see below), whose sum is σ = 284244480. Its totient is φ = 24045120.

The previous prime is 87994847. The next prime is 87994877. The reversal of 87994872 is 27849978.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87994877) 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, 7797 + ... + 15387.

It is an arithmetic number, because the mean of its divisors is an integer number (2960880).

Almost surely, 2^87994872 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 87994872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142122240).

87994872 is an abundant number, since it is smaller than the sum of its proper divisors (196249608).

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

87994872 is a wasteful number, since it uses less digits than its factorization.

87994872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7626 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 87994872 is about 9380.5581923466. The cubic root of 87994872 is about 444.7873781204.

The spelling of 87994872 in words is "eighty-seven million, nine hundred ninety-four thousand, eight hundred seventy-two".