88704 has 96 divisors (see below), whose sum is σ = 318240. Its totient is φ = 23040.

The previous prime is 88681. The next prime is 88721. The reversal of 88704 is 40788.

88704 = 9³ + 10³ + ... + 24³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

88704 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 11 ways as a sum of consecutive naturals, for example, 8059 + ... + 8069.

It is an arithmetic number, because the mean of its divisors is an integer number (3315).

2⁸⁸⁷⁰⁴ is an apocalyptic number.

88704 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120).

88704 is an abundant number, since it is smaller than the sum of its proper divisors (229536).

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

88704 is a wasteful number, since it uses less digits than its factorization.

88704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 88704 is about 297.8321675038. The cubic root of 88704 is about 44.5978991818.

The spelling of 88704 in words is "eighty-eight thousand, seven hundred four".