88164 has 36 divisors (see below), whose sum is σ = 232960. Its totient is φ = 28080.

The previous prime is 88129. The next prime is 88169. The reversal of 88164 is 46188.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (88169) by changing a digit.

88164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077 + ... + 1155.

2⁸⁸¹⁶⁴ 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 88164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116480).

88164 is an abundant number, since it is smaller than the sum of its proper divisors (144796).

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

88164 is a wasteful number, since it uses less digits than its factorization.

88164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 115 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 88164 is about 296.9242327598. The cubic root of 88164 is about 44.5072159320.

It can be divided in two parts, 88 and 164, that added together give a palindrome (252).

The spelling of 88164 in words is "eighty-eight thousand, one hundred sixty-four".