54002160 has 160 divisors (see below), whose sum is σ = 194273280. Its totient is φ = 13761792.

The previous prime is 54002159. The next prime is 54002167. The reversal of 54002160 is 6120045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54002167) 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, 49137 + ... + 50223.

It is an arithmetic number, because the mean of its divisors is an integer number (1214208).

Almost surely, 2^54002160 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 54002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136640).

54002160 is an abundant number, since it is smaller than the sum of its proper divisors (140271120).

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

54002160 is a wasteful number, since it uses less digits than its factorization.

54002160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54002160 is about 7348.6161962644. The cubic root of 54002160 is about 377.9813545855.

The spelling of 54002160 in words is "fifty-four million, two thousand, one hundred sixty".