54970920 has 128 divisors (see below), whose sum is σ = 191289600. Its totient is φ = 14015232.

The previous prime is 54970901. The next prime is 54970931. The reversal of 54970920 is 2907945.

It is a super-3 number, since 3×54970920³ (a number of 24 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 23734 + ... + 25946.

It is an arithmetic number, because the mean of its divisors is an integer number (1494450).

Almost surely, 2^54970920 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 54970920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95644800).

54970920 is an abundant number, since it is smaller than the sum of its proper divisors (136318680).

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

54970920 is a wasteful number, since it uses less digits than its factorization.

54970920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2246 counting only the distinct ones).

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

The square root of 54970920 is about 7414.2376546750. The cubic root of 54970920 is about 380.2282101041.

The spelling of 54970920 in words is "fifty-four million, nine hundred seventy thousand, nine hundred twenty".