88064 has 24 divisors (see below), whose sum is σ = 180180. Its totient is φ = 43008.

The previous prime is 88037. The next prime is 88069. The reversal of 88064 is 46088.

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 88064.

It is not an unprimeable number, because it can be changed into a prime (88069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2027 + ... + 2069.

2⁸⁸⁰⁶⁴ 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 88064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90090).

88064 is an abundant number, since it is smaller than the sum of its proper divisors (92116).

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

88064 is an equidigital number, since it uses as much as digits as its factorization.

88064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 88064 is about 296.7557918559. The cubic root of 88064 is about 44.4903821322.

The spelling of 88064 in words is "eighty-eight thousand, sixty-four".