54345360 has 80 divisors (see below), whose sum is σ = 169203456. Its totient is φ = 14429184.

The previous prime is 54345359. The next prime is 54345367. The reversal of 54345360 is 6354345.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (54345367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87772 + ... + 88388.

Almost surely, 2^54345360 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 54345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84601728).

54345360 is an abundant number, since it is smaller than the sum of its proper divisors (114858096).

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

54345360 is a wasteful number, since it uses less digits than its factorization.

54345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 54345360 is about 7371.9305476924. The cubic root of 54345360 is about 378.7803927293.

The spelling of 54345360 in words is "fifty-four million, three hundred forty-five thousand, three hundred sixty".