54681360 has 80 divisors (see below), whose sum is σ = 171953280. Its totient is φ = 14371840.

The previous prime is 54681359. The next prime is 54681371. The reversal of 54681360 is 6318645.

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

It is a super-2 number, since 2×54681360² = 5980102262899200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15436 + ... + 18644.

It is an arithmetic number, because the mean of its divisors is an integer number (2149416).

Almost surely, 2^54681360 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 54681360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976640).

54681360 is an abundant number, since it is smaller than the sum of its proper divisors (117271920).

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

54681360 is a wasteful number, since it uses less digits than its factorization.

54681360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 54681360 is about 7394.6845774516. The cubic root of 54681360 is about 379.5594155004.

The spelling of 54681360 in words is "fifty-four million, six hundred eighty-one thousand, three hundred sixty".