88768872 has 112 divisors (see below), whose sum is σ = 258122880. Its totient is φ = 28576800.

The previous prime is 88768861. The next prime is 88768877. The reversal of 88768872 is 27886788.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88768877) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 180547 + ... + 181037.

Almost surely, 2^88768872 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 88768872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129061440).

88768872 is an abundant number, since it is smaller than the sum of its proper divisors (169354008).

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

88768872 is a wasteful number, since it uses less digits than its factorization.

88768872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

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

The square root of 88768872 is about 9421.7234092283. The cubic root of 88768872 is about 446.0876847714.

The spelling of 88768872 in words is "eighty-eight million, seven hundred sixty-eight thousand, eight hundred seventy-two".