54264 has 64 divisors (see below), whose sum is σ = 172800. Its totient is φ = 13824.

The previous prime is 54251. The next prime is 54269. The reversal of 54264 is 46245.

54264 = T₁₂₁ + T₁₂₂ + ... + T₁₂₇.

It is a happy number.

54264 is a nontrivial binomial coefficient, being equal to C(21, 6).

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (960) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 54264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54269) by changing a digit.

54264 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 15 ways as a sum of consecutive naturals, for example, 2847 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2⁵⁴²⁶⁴ 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 54264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

54264 is an abundant number, since it is smaller than the sum of its proper divisors (118536).

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

54264 is a wasteful number, since it uses less digits than its factorization.

54264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 48 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 54264 is about 232.9463457537. The cubic root of 54264 is about 37.8591275299.

Adding to 54264 its sum of digits (21), we get a triangular number (54285 = T₃₂₉).

It can be divided in two parts, 542 and 64, that added together give a palindrome (606).

The spelling of 54264 in words is "fifty-four thousand, two hundred sixty-four".