54291920 has 20 divisors (see below), whose sum is σ = 126228900. Its totient is φ = 21716736.

The previous prime is 54291893. The next prime is 54291947. The reversal of 54291920 is 2919245.

It is an interprime number because it is at equal distance from previous prime (54291893) and next prime (54291947).

It can be written as a sum of positive squares in 2 ways, for example, as 10942864 + 43349056 = 3308^2 + 6584^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×54291920² = 5895225154572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339245 + ... + 339404.

It is an arithmetic number, because the mean of its divisors is an integer number (6311445).

Almost surely, 2^54291920 is an apocalyptic number.

It is an amenable number.

54291920 is an abundant number, since it is smaller than the sum of its proper divisors (71936980).

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

54291920 is a wasteful number, since it uses less digits than its factorization.

54291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678662 (or 678656 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 54291920 is about 7368.3050968320. The cubic root of 54291920 is about 378.6561952955.

The spelling of 54291920 in words is "fifty-four million, two hundred ninety-one thousand, nine hundred twenty".