54372864 has 160 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 14303232.

The previous prime is 54372863. The next prime is 54372881. The reversal of 54372864 is 46827345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (54372863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139582 + ... + 139970.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^54372864 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 54372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

54372864 is an abundant number, since it is smaller than the sum of its proper divisors (124365696).

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

54372864 is a wasteful number, since it uses less digits than its factorization.

54372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 54372864 is about 7373.7957660895. The cubic root of 54372864 is about 378.8442817710.

The spelling of 54372864 in words is "fifty-four million, three hundred seventy-two thousand, eight hundred sixty-four".