88764 has 24 divisors (see below), whose sum is σ = 223440. Its totient is φ = 27264.

The previous prime is 88747. The next prime is 88771. The reversal of 88764 is 46788.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88764.

It is an unprimeable number.

88764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2⁸⁸⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

88764 is an abundant number, since it is smaller than the sum of its proper divisors (134676).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

88764 is a wasteful number, since it uses less digits than its factorization.

88764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 88764 is about 297.9328783468. The cubic root of 88764 is about 44.6079523581.

The spelling of 88764 in words is "eighty-eight thousand, seven hundred sixty-four".