55946800 has 240 divisors, whose sum is σ = 174363840. Its totient is φ = 16773120.

The previous prime is 55946797. The next prime is 55946893. The reversal of 55946800 is 864955.

55946800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55946800.

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 47 ways as a sum of consecutive naturals, for example, 1055574 + ... + 1055626.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 2^55946800 is an apocalyptic number.

55946800 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 55946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

55946800 is an abundant number, since it is smaller than the sum of its proper divisors (118417040).

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

55946800 is a wasteful number, since it uses less digits than its factorization.

55946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 55946800 is about 7479.7593544178. The cubic root of 55946800 is about 382.4650458611.

The spelling of 55946800 in words is "fifty-five million, nine hundred forty-six thousand, eight hundred".