87264 has 48 divisors (see below), whose sum is σ = 257040. Its totient is φ = 28800.

The previous prime is 87257. The next prime is 87277. The reversal of 87264 is 46278.

87264 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 814 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2⁸⁷²⁶⁴ 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 87264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520).

87264 is an abundant number, since it is smaller than the sum of its proper divisors (169776).

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

87264 is a wasteful number, since it uses less digits than its factorization.

87264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 87264 is about 295.4048070022. The cubic root of 87264 is about 44.3552507503.

It can be divided in two parts, 87 and 264, that added together give a triangular number (351 = T₂₆).

The spelling of 87264 in words is "eighty-seven thousand, two hundred sixty-four".