55983360 has 144 divisors (see below), whose sum is σ = 182488320. Its totient is φ = 14622720.

The previous prime is 55983359. The next prime is 55983371. The reversal of 55983360 is 6338955.

It is a congruent number.

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, 234121 + ... + 234359.

It is an arithmetic number, because the mean of its divisors is an integer number (1267280).

Almost surely, 2^55983360 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 55983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91244160).

55983360 is an abundant number, since it is smaller than the sum of its proper divisors (126504960).

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

55983360 is a wasteful number, since it uses less digits than its factorization.

55983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 55983360 is about 7482.2028841779. The cubic root of 55983360 is about 382.5483385447.

The spelling of 55983360 in words is "fifty-five million, nine hundred eighty-three thousand, three hundred sixty".