87976672 has 48 divisors (see below), whose sum is σ = 200037600. Its totient is φ = 37306368.

The previous prime is 87976657. The next prime is 87976673. The reversal of 87976672 is 27667978.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87976673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19704 + ... + 23752.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 2^87976672 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 87976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100018800).

87976672 is an abundant number, since it is smaller than the sum of its proper divisors (112060928).

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

87976672 is a wasteful number, since it uses less digits than its factorization.

87976672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4155 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 52.

The square root of 87976672 is about 9379.5880506555. The cubic root of 87976672 is about 444.7567108467.

The spelling of 87976672 in words is "eighty-seven million, nine hundred seventy-six thousand, six hundred seventy-two".