55965360 has 320 divisors, whose sum is σ = 212129280. Its totient is φ = 12042240.

The previous prime is 55965353. The next prime is 55965379. The reversal of 55965360 is 6356955.

It is a Cunningham number, because it is equal to 7481²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301499 + ... + 1301541.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^55965360 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 55965360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

55965360 is an abundant number, since it is smaller than the sum of its proper divisors (156163920).

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

55965360 is a wasteful number, since it uses less digits than its factorization.

55965360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 55965360 is about 7480.9999331640. Note that the first 4 decimals coincide. The cubic root of 55965360 is about 382.5073346451.

The spelling of 55965360 in words is "fifty-five million, nine hundred sixty-five thousand, three hundred sixty".