54957360 has 40 divisors (see below), whose sum is σ = 170368560. Its totient is φ = 14655232.

The previous prime is 54957347. The next prime is 54957361. The reversal of 54957360 is 6375945.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×54957360² = 6040622836339200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54957361) 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, 114255 + ... + 114734.

It is an arithmetic number, because the mean of its divisors is an integer number (4259214).

Almost surely, 2^54957360 is an apocalyptic number.

It is an amenable number.

54957360 is an abundant number, since it is smaller than the sum of its proper divisors (115411200).

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

54957360 is a wasteful number, since it uses less digits than its factorization.

54957360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229005 (or 228999 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 54957360 is about 7413.3231414798. The cubic root of 54957360 is about 380.1969431570.

The spelling of 54957360 in words is "fifty-four million, nine hundred fifty-seven thousand, three hundred sixty".