54106560 has 84 divisors (see below), whose sum is σ = 186113928. Its totient is φ = 14427648.

The previous prime is 54106553. The next prime is 54106589. The reversal of 54106560 is 6560145.

It is a happy number.

54106560 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 656 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6514 + ... + 12273.

It is an arithmetic number, because the mean of its divisors is an integer number (2215642).

Almost surely, 2^54106560 is an apocalyptic number.

It is an amenable number.

54106560 is an abundant number, since it is smaller than the sum of its proper divisors (132007368).

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

54106560 is a wasteful number, since it uses less digits than its factorization.

54106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18810 (or 18797 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 54106560 is about 7355.7161446048. The cubic root of 54106560 is about 378.2247760284.

The spelling of 54106560 in words is "fifty-four million, one hundred six thousand, five hundred sixty".