54597760 has 96 divisors (see below), whose sum is σ = 151919820. Its totient is φ = 18708480.

The previous prime is 54597757. The next prime is 54597779. The reversal of 54597760 is 6779545.

It can be written as a sum of positive squares in 2 ways, for example, as 44408896 + 10188864 = 6664^2 + 3192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30490 + ... + 32230.

Almost surely, 2^54597760 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 54597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75959910).

54597760 is an abundant number, since it is smaller than the sum of its proper divisors (97322060).

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

54597760 is a wasteful number, since it uses less digits than its factorization.

54597760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 54597760 is about 7389.0297062605. The cubic root of 54597760 is about 379.3658861045.

The spelling of 54597760 in words is "fifty-four million, five hundred ninety-seven thousand, seven hundred sixty".