87967264 has 96 divisors (see below), whose sum is σ = 227404800. Its totient is φ = 32451840.

The previous prime is 87967219. The next prime is 87967273. The reversal of 87967264 is 46276978.

It is a super-4 number, since 4×87967264⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45877 + ... + 47755.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 2^87967264 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 87967264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113702400).

87967264 is an abundant number, since it is smaller than the sum of its proper divisors (139437536).

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

87967264 is a wasteful number, since it uses less digits than its factorization.

87967264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The square root of 87967264 is about 9379.0865226844. The cubic root of 87967264 is about 444.7408565670.

The spelling of 87967264 in words is "eighty-seven million, nine hundred sixty-seven thousand, two hundred sixty-four".