87968832 has 224 divisors, whose sum is σ = 287243520. Its totient is φ = 23224320.

The previous prime is 87968801. The next prime is 87968833. The reversal of 87968832 is 23886978.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (87968833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442082 + ... + 1442142.

Almost surely, 2^87968832 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 87968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143621760).

87968832 is an abundant number, since it is smaller than the sum of its proper divisors (199274688).

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

87968832 is a wasteful number, since it uses less digits than its factorization.

87968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 87968832 is about 9379.1701125419. The cubic root of 87968832 is about 444.7434990255.

The spelling of 87968832 in words is "eighty-seven million, nine hundred sixty-eight thousand, eight hundred thirty-two".