54814560 has 48 divisors (see below), whose sum is σ = 172667376. Its totient is φ = 14617088.

The previous prime is 54814559. The next prime is 54814607. The reversal of 54814560 is 6541845.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 56619 + ... + 57578.

It is an arithmetic number, because the mean of its divisors is an integer number (3597237).

Almost surely, 2^54814560 is an apocalyptic number.

It is an amenable number.

54814560 is an abundant number, since it is smaller than the sum of its proper divisors (117852816).

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

54814560 is a wasteful number, since it uses less digits than its factorization.

54814560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114215 (or 114207 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 54814560 is about 7403.6855686881. The cubic root of 54814560 is about 379.8673590619.

The spelling of 54814560 in words is "fifty-four million, eight hundred fourteen thousand, five hundred sixty".