54709920 has 72 divisors (see below), whose sum is σ = 186702516. Its totient is φ = 14588928.

The previous prime is 54709913. The next prime is 54709937. The reversal of 54709920 is 2990745.

54709920 is a `hidden beast` number, since 547 + 0 + 99 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46621584 + 8088336 = 6828^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 17557 + ... + 20436.

Almost surely, 2^54709920 is an apocalyptic number.

It is an amenable number.

54709920 is an abundant number, since it is smaller than the sum of its proper divisors (131992596).

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

54709920 is a wasteful number, since it uses less digits than its factorization.

54709920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38014 (or 38003 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 54709920 is about 7396.6154422141. The cubic root of 54709920 is about 379.6254851213.

The spelling of 54709920 in words is "fifty-four million, seven hundred nine thousand, nine hundred twenty".