55768320 has 216 divisors, whose sum is σ = 198971136. Its totient is φ = 14413824.

The previous prime is 55768319. The next prime is 55768327. The reversal of 55768320 is 2386755.

55768320 is a `hidden beast` number, since 5 + 576 + 83 + 2 + 0 = 666.

It is a super-2 number, since 2×55768320² = 6220211031244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55768327) 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 23 ways as a sum of consecutive naturals, for example, 541389 + ... + 541491.

Almost surely, 2^55768320 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 55768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99485568).

55768320 is an abundant number, since it is smaller than the sum of its proper divisors (143202816).

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

55768320 is a wasteful number, since it uses less digits than its factorization.

55768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55768320 is about 7467.8189587054. The cubic root of 55768320 is about 382.0579026470.

The spelling of 55768320 in words is "fifty-five million, seven hundred sixty-eight thousand, three hundred twenty".