87288768 has 84 divisors (see below), whose sum is σ = 285953200. Its totient is φ = 24938496.

The previous prime is 87288731. The next prime is 87288769. The reversal of 87288768 is 86788278.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87288769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6793 + ... + 14856.

Almost surely, 2^87288768 is an apocalyptic number.

It is an amenable number.

87288768 is an abundant number, since it is smaller than the sum of its proper divisors (198664432).

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

87288768 is a wasteful number, since it uses less digits than its factorization.

87288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21674 (or 21661 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 87288768 is about 9342.8458191281. The cubic root of 87288768 is about 443.5944677969.

The spelling of 87288768 in words is "eighty-seven million, two hundred eighty-eight thousand, seven hundred sixty-eight".