54130560 has 192 divisors, whose sum is σ = 190466640. Its totient is φ = 13066240.

The previous prime is 54130541. The next prime is 54130561. The reversal of 54130560 is 6503145.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54130560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54130561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232204 + ... + 232436.

Almost surely, 2^54130560 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 54130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95233320).

54130560 is an abundant number, since it is smaller than the sum of its proper divisors (136336080).

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

54130560 is a wasteful number, since it uses less digits than its factorization.

54130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 54130560 is about 7357.3473480596. The cubic root of 54130560 is about 378.2806907074.

The spelling of 54130560 in words is "fifty-four million, one hundred thirty thousand, five hundred sixty".