55930560 has 336 divisors, whose sum is σ = 218907360. Its totient is φ = 12042240.

The previous prime is 55930559. The next prime is 55930579. The reversal of 55930560 is 6503955.

55930560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364140 + ... + 1364180.

It is an arithmetic number, because the mean of its divisors is an integer number (651510).

Almost surely, 2^55930560 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 55930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

55930560 is an abundant number, since it is smaller than the sum of its proper divisors (162976800).

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

55930560 is a wasteful number, since it uses less digits than its factorization.

55930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 55930560 is about 7478.6736792028. The cubic root of 55930560 is about 382.4280355022.

The spelling of 55930560 in words is "fifty-five million, nine hundred thirty thousand, five hundred sixty".