54661360 has 80 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 20117760.

The previous prime is 54661357. The next prime is 54661421. The reversal of 54661360 is 6316645.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175605 + ... + 175915.

It is an arithmetic number, because the mean of its divisors is an integer number (1726452).

Almost surely, 2^54661360 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 54661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

54661360 is an abundant number, since it is smaller than the sum of its proper divisors (83454800).

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

54661360 is a wasteful number, since it uses less digits than its factorization.

54661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 54661360 is about 7393.3321310489. The cubic root of 54661360 is about 379.5131345617.

The spelling of 54661360 in words is "fifty-four million, six hundred sixty-one thousand, three hundred sixty".