54580160 has 112 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 20136960.

The previous prime is 54580159. The next prime is 54580171. The reversal of 54580160 is 6108545.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285665 + ... + 285855.

Almost surely, 2^54580160 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 54580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

54580160 is an abundant number, since it is smaller than the sum of its proper divisors (85871680).

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

54580160 is a wasteful number, since it uses less digits than its factorization.

54580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 54580160 is about 7387.8386555203. The cubic root of 54580160 is about 379.3251179047.

The spelling of 54580160 in words is "fifty-four million, five hundred eighty thousand, one hundred sixty".