54120360 has 128 divisors (see below), whose sum is σ = 195379200. Its totient is φ = 11715840.

The previous prime is 54120349. The next prime is 54120361. The reversal of 54120360 is 6302145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (54120361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14265 + ... + 17655.

It is an arithmetic number, because the mean of its divisors is an integer number (1526400).

Almost surely, 2^54120360 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 54120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97689600).

54120360 is an abundant number, since it is smaller than the sum of its proper divisors (141258840).

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

54120360 is a wasteful number, since it uses less digits than its factorization.

54120360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 54120360 is about 7356.6541307853. The cubic root of 54120360 is about 378.2569289887.

The spelling of 54120360 in words is "fifty-four million, one hundred twenty thousand, three hundred sixty".