54391920 has 120 divisors (see below), whose sum is σ = 185436048. Its totient is φ = 13178880.

The previous prime is 54391867. The next prime is 54391921. The reversal of 54391920 is 2919345.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×54391920² = 5916961922572800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54391921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28104 + ... + 29976.

Almost surely, 2^54391920 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 54391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92718024).

54391920 is an abundant number, since it is smaller than the sum of its proper divisors (131044128).

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

54391920 is a wasteful number, since it uses less digits than its factorization.

54391920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 54391920 is about 7375.0877960876. The cubic root of 54391920 is about 378.8885343196. Note that the first 3 decimals are identical.

The spelling of 54391920 in words is "fifty-four million, three hundred ninety-one thousand, nine hundred twenty".