55356768 has 144 divisors (see below), whose sum is σ = 168176736. Its totient is φ = 17233920.

The previous prime is 55356757. The next prime is 55356827. The reversal of 55356768 is 86765355.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403996 + ... + 404132.

It is an arithmetic number, because the mean of its divisors is an integer number (1167894).

Almost surely, 2^55356768 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 55356768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088368).

55356768 is an abundant number, since it is smaller than the sum of its proper divisors (112819968).

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

55356768 is a wasteful number, since it uses less digits than its factorization.

55356768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 55356768 is about 7440.2129001797. The cubic root of 55356768 is about 381.1157603895.

The spelling of 55356768 in words is "fifty-five million, three hundred fifty-six thousand, seven hundred sixty-eight".