69264 has 60 divisors (see below), whose sum is σ = 214396. Its totient is φ = 20736.

The previous prime is 69263. The next prime is 69313. The reversal of 69264 is 46296.

69264 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 32400 = 192^2 + 180^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (69263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1854 + ... + 1890.

2⁶⁹²⁶⁴ 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 69264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107198).

69264 is an abundant number, since it is smaller than the sum of its proper divisors (145132).

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

69264 is a wasteful number, since it uses less digits than its factorization.

69264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 69264 is about 263.1805463935. The cubic root of 69264 is about 41.0679025508.

It can be divided in two parts, 69 and 264, that added together give a palindrome (333).

The spelling of 69264 in words is "sixty-nine thousand, two hundred sixty-four".