55768944 has 160 divisors (see below), whose sum is σ = 182845440. Its totient is φ = 14227200.

The previous prime is 55768919. The next prime is 55768957. The reversal of 55768944 is 44986755.

It is a super-2 number, since 2×55768944² = 6220350229750272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 55768893 and 55768902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291889 + ... + 292079.

It is an arithmetic number, because the mean of its divisors is an integer number (1142784).

Almost surely, 2^55768944 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 55768944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91422720).

55768944 is an abundant number, since it is smaller than the sum of its proper divisors (127076496).

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

55768944 is a wasteful number, since it uses less digits than its factorization.

55768944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 55768944 is about 7467.8607378553. The cubic root of 55768944 is about 382.0593276092.

The spelling of 55768944 in words is "fifty-five million, seven hundred sixty-eight thousand, nine hundred forty-four".