55768608 has 96 divisors (see below), whose sum is σ = 185915520. Its totient is φ = 15932160.

The previous prime is 55768577. The next prime is 55768627. The reversal of 55768608 is 80686755.

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

It is a super-2 number, since 2×55768608² = 6220275276515328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1438 + ... + 10658.

It is an arithmetic number, because the mean of its divisors is an integer number (1936620).

Almost surely, 2^55768608 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 55768608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92957760).

55768608 is an abundant number, since it is smaller than the sum of its proper divisors (130146912).

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

55768608 is a wasteful number, since it uses less digits than its factorization.

55768608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 55768608 is about 7467.8382414190. The cubic root of 55768608 is about 382.0585603232.

The spelling of 55768608 in words is "fifty-five million, seven hundred sixty-eight thousand, six hundred eight".