87948872 has 64 divisors (see below), whose sum is σ = 197683200. Its totient is φ = 36210240.

The previous prime is 87948869. The next prime is 87948899. The reversal of 87948872 is 27884978.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37313 + ... + 39599.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 2^87948872 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 87948872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98841600).

87948872 is an abundant number, since it is smaller than the sum of its proper divisors (109734328).

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

87948872 is a wasteful number, since it uses less digits than its factorization.

87948872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2342 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 53.

The square root of 87948872 is about 9378.1059921500. The cubic root of 87948872 is about 444.7098592634.

The spelling of 87948872 in words is "eighty-seven million, nine hundred forty-eight thousand, eight hundred seventy-two".