54973680 has 120 divisors (see below), whose sum is σ = 178561488. Its totient is φ = 13989888.

The previous prime is 54973673. The next prime is 54973693. The reversal of 54973680 is 8637945.

54973680 = 1535² + 1536² + ... + 1557².

It is a happy number.

54973680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126744 + ... + 127176.

Almost surely, 2^54973680 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 54973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280744).

54973680 is an abundant number, since it is smaller than the sum of its proper divisors (123587808).

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

54973680 is a wasteful number, since it uses less digits than its factorization.

54973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 54973680 is about 7414.4237807128. The cubic root of 54973680 is about 380.2345735431.

The spelling of 54973680 in words is "fifty-four million, nine hundred seventy-three thousand, six hundred eighty".