55768064 has 44 divisors (see below), whose sum is σ = 121640928. Its totient is φ = 25344000.

The previous prime is 55768057. The next prime is 55768087. The reversal of 55768064 is 46086755.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×55768064² = 6220153924616192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8789 + ... + 13739.

Almost surely, 2^55768064 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 55768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60820464).

55768064 is an abundant number, since it is smaller than the sum of its proper divisors (65872864).

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

55768064 is a wasteful number, since it uses less digits than its factorization.

55768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 55768064 is about 7467.8018184738. The cubic root of 55768064 is about 382.0573180441.

The spelling of 55768064 in words is "fifty-five million, seven hundred sixty-eight thousand, sixty-four".