54705920 has 72 divisors (see below), whose sum is σ = 132941760. Its totient is φ = 21565440.

The previous prime is 54705913. The next prime is 54705929. The reversal of 54705920 is 2950745.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54705929) 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, 100850 + ... + 101390.

Almost surely, 2^54705920 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 54705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66470880).

54705920 is an abundant number, since it is smaller than the sum of its proper divisors (78235840).

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

54705920 is an equidigital number, since it uses as much as digits as its factorization.

54705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 54705920 is about 7396.3450433305. The cubic root of 54705920 is about 379.6162330579.

The spelling of 54705920 in words is "fifty-four million, seven hundred five thousand, nine hundred twenty".