88264 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 37120.

The previous prime is 88261. The next prime is 88289. The reversal of 88264 is 46288.

88264 is a modest number, since divided by 264 gives 88 as remainder.

It is not an unprimeable number, because it can be changed into a prime (88261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1467 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁸⁸²⁶⁴ 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 88264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

88264 is an abundant number, since it is smaller than the sum of its proper divisors (106136).

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

88264 is a wasteful number, since it uses less digits than its factorization.

88264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 88264 is about 297.0925781638. The cubic root of 88264 is about 44.5240370076.

It can be divided in two parts, 882 and 64, that added together give a triangular number (946 = T₄₃).

The spelling of 88264 in words is "eighty-eight thousand, two hundred sixty-four".