54071160 has 256 divisors, whose sum is σ = 200309760. Its totient is φ = 11489280.

The previous prime is 54071153. The next prime is 54071177. The reversal of 54071160 is 6117045.

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 54071160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394612 + ... + 394748.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 2^54071160 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 54071160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

54071160 is an abundant number, since it is smaller than the sum of its proper divisors (146238600).

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

54071160 is a wasteful number, since it uses less digits than its factorization.

54071160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 54071160 is about 7353.3094590123. The cubic root of 54071160 is about 378.1422716879.

The spelling of 54071160 in words is "fifty-four million, seventy-one thousand, one hundred sixty".