54318264 has 384 divisors, whose sum is σ = 206841600. Its totient is φ = 11612160.

The previous prime is 54318263. The next prime is 54318287. The reversal of 54318264 is 46281345.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (23040) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54318263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2858847 + ... + 2858865.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^54318264 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 54318264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

54318264 is an abundant number, since it is smaller than the sum of its proper divisors (152523336).

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

54318264 is a wasteful number, since it uses less digits than its factorization.

54318264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 54318264 is about 7370.0925367325. The cubic root of 54318264 is about 378.7174303486.

It can be divided in two parts, 5431 and 8264, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 54318264 in words is "fifty-four million, three hundred eighteen thousand, two hundred sixty-four".