54980560 has 40 divisors (see below), whose sum is σ = 128569896. Its totient is φ = 21864960.

The previous prime is 54980537. The next prime is 54980561. The reversal of 54980560 is 6508945.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 48385936 = 2568^2 + 6956^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54980561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12582 + ... + 16378.

Almost surely, 2^54980560 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 54980560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64284948).

54980560 is an abundant number, since it is smaller than the sum of its proper divisors (73589336).

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

54980560 is a wasteful number, since it uses less digits than its factorization.

54980560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 54980560 is about 7414.8877267292. The cubic root of 54980560 is about 380.2504351017.

The spelling of 54980560 in words is "fifty-four million, nine hundred eighty thousand, five hundred sixty".