54974080 has 96 divisors (see below), whose sum is σ = 152966340. Its totient is φ = 18837504.

The previous prime is 54974077. The next prime is 54974089. The reversal of 54974080 is 8047945.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 7529536 = 6888^2 + 2744^2 .

It is not an unprimeable number, because it can be changed into a prime (54974089) 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 11 ways as a sum of consecutive naturals, for example, 30484 + ... + 32236.

Almost surely, 2^54974080 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 54974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76483170).

54974080 is an abundant number, since it is smaller than the sum of its proper divisors (97992260).

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

54974080 is a wasteful number, since it uses less digits than its factorization.

54974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 54974080 is about 7414.4507551133. The cubic root of 54974080 is about 380.2354957630.

The spelling of 54974080 in words is "fifty-four million, nine hundred seventy-four thousand, eighty".