87735264 has 48 divisors (see below), whose sum is σ = 230936832. Its totient is φ = 29164928.

The previous prime is 87735257. The next prime is 87735281. The reversal of 87735264 is 46253778.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41497 + ... + 43559.

It is an arithmetic number, because the mean of its divisors is an integer number (4811184).

Almost surely, 2^87735264 is an apocalyptic number.

It is an amenable number.

87735264 is an abundant number, since it is smaller than the sum of its proper divisors (143201568).

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

87735264 is a wasteful number, since it uses less digits than its factorization.

87735264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2511 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 87735264 is about 9366.7104150817. The cubic root of 87735264 is about 444.3495340298.

The spelling of 87735264 in words is "eighty-seven million, seven hundred thirty-five thousand, two hundred sixty-four".