60264 has 48 divisors (see below), whose sum is σ = 174720. Its totient is φ = 19440.

The previous prime is 60259. The next prime is 60271. The reversal of 60264 is 46206.

60264 is a `hidden beast` number, since 602 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

60264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1929 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁶⁰²⁶⁴ 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 60264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

60264 is an abundant number, since it is smaller than the sum of its proper divisors (114456).

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

60264 is a wasteful number, since it uses less digits than its factorization.

60264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60264 is about 245.4872705457. The cubic root of 60264 is about 39.2060104625.

It can be divided in two parts, 602 and 64, that added together give a palindrome (666).

The spelling of 60264 in words is "sixty thousand, two hundred sixty-four".