87978312 has 80 divisors (see below), whose sum is σ = 257178240. Its totient is φ = 28046304.

The previous prime is 87978307. The next prime is 87978343. The reversal of 87978312 is 21387978.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11953 + ... + 17855.

It is an arithmetic number, because the mean of its divisors is an integer number (3214728).

Almost surely, 2^87978312 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 87978312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128589120).

87978312 is an abundant number, since it is smaller than the sum of its proper divisors (169199928).

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

87978312 is a wasteful number, since it uses less digits than its factorization.

87978312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5931 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 87978312 is about 9379.6754741302. The cubic root of 87978312 is about 444.7594744448.

The spelling of 87978312 in words is "eighty-seven million, nine hundred seventy-eight thousand, three hundred twelve".