55664160 has 96 divisors (see below), whose sum is σ = 177448320. Its totient is φ = 14665728.

The previous prime is 55664159. The next prime is 55664173. The reversal of 55664160 is 6146655.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42069 + ... + 43371.

It is an arithmetic number, because the mean of its divisors is an integer number (1848420).

Almost surely, 2^55664160 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 55664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88724160).

55664160 is an abundant number, since it is smaller than the sum of its proper divisors (121784160).

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

55664160 is a wasteful number, since it uses less digits than its factorization.

55664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 55664160 is about 7460.8417755639. The cubic root of 55664160 is about 381.8198944471.

The spelling of 55664160 in words is "fifty-five million, six hundred sixty-four thousand, one hundred sixty".