54821160 has 96 divisors (see below), whose sum is σ = 179304840. Its totient is φ = 14525952.

The previous prime is 54821147. The next prime is 54821171. The reversal of 54821160 is 6112845.

54821160 is a `hidden beast` number, since 548 + 2 + 116 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46212804 + 8608356 = 6798^2 + 2934^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70534 + ... + 71306.

Almost surely, 2^54821160 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 54821160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89652420).

54821160 is an abundant number, since it is smaller than the sum of its proper divisors (124483680).

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

54821160 is a wasteful number, since it uses less digits than its factorization.

54821160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 54821160 is about 7404.1312792251. The cubic root of 54821160 is about 379.8826045487.

The spelling of 54821160 in words is "fifty-four million, eight hundred twenty-one thousand, one hundred sixty".