54093312 has 320 divisors, whose sum is σ = 201653760. Its totient is φ = 13934592.

The previous prime is 54093293. The next prime is 54093313. The reversal of 54093312 is 21339045.

54093312 is a `hidden beast` number, since 540 + 93 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54093313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257963 + ... + 1258005.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^54093312 is an apocalyptic number.

54093312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

54093312 is an abundant number, since it is smaller than the sum of its proper divisors (147560448).

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

54093312 is a wasteful number, since it uses less digits than its factorization.

54093312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 54093312 is about 7354.8155653286. The cubic root of 54093312 is about 378.1939040427.

The spelling of 54093312 in words is "fifty-four million, ninety-three thousand, three hundred twelve".