54093920 has 48 divisors (see below), whose sum is σ = 130228560. Its totient is φ = 21225984.

The previous prime is 54093917. The next prime is 54093929. The reversal of 54093920 is 2939045.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54093929) 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 7 ways as a sum of consecutive naturals, for example, 5291 + ... + 11669.

It is an arithmetic number, because the mean of its divisors is an integer number (2713095).

Almost surely, 2^54093920 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 54093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65114280).

54093920 is an abundant number, since it is smaller than the sum of its proper divisors (76134640).

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

54093920 is a wasteful number, since it uses less digits than its factorization.

54093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 54093920 is about 7354.8568986759. The cubic root of 54093920 is about 378.1953209833.

The spelling of 54093920 in words is "fifty-four million, ninety-three thousand, nine hundred twenty".