55768000 has 56 divisors (see below), whose sum is σ = 138129264. Its totient is φ = 22304000.

The previous prime is 55767979. The next prime is 55768019. The reversal of 55768000 is 86755.

55768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55768000² = 6220139648000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4515 + ... + 11485.

It is an arithmetic number, because the mean of its divisors is an integer number (2466594).

Almost surely, 2^55768000 is an apocalyptic number.

55768000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69064632).

55768000 is an abundant number, since it is smaller than the sum of its proper divisors (82361264).

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

55768000 is an equidigital number, since it uses as much as digits as its factorization.

55768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 55768000 is about 7467.7975334097. The cubic root of 55768000 is about 382.0571718931.

The spelling of 55768000 in words is "fifty-five million, seven hundred sixty-eight thousand".