55264160 has 192 divisors, whose sum is σ = 163296000. Its totient is φ = 17611776.

The previous prime is 55264133. The next prime is 55264163. The reversal of 55264160 is 6146255.

It is not an unprimeable number, because it can be changed into a prime (55264163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042694 + ... + 1042746.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^55264160 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 55264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

55264160 is an abundant number, since it is smaller than the sum of its proper divisors (108031840).

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

55264160 is a wasteful number, since it uses less digits than its factorization.

55264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 55264160 is about 7433.9868173141. The cubic root of 55264160 is about 380.9031150973.

The spelling of 55264160 in words is "fifty-five million, two hundred sixty-four thousand, one hundred sixty".