55368000 has 168 divisors, whose sum is σ = 198318120. Its totient is φ = 14745600.

The previous prime is 55367993. The next prime is 55368011. The reversal of 55368000 is 86355.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 51494976 = 1968^2 + 7176^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71616 + ... + 72384.

It is an arithmetic number, because the mean of its divisors is an integer number (1180465).

Almost surely, 2^55368000 is an apocalyptic number.

55368000 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 55368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99159060).

55368000 is an abundant number, since it is smaller than the sum of its proper divisors (142950120).

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

55368000 is a wasteful number, since it uses less digits than its factorization.

55368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55368000 is about 7440.9676790052. The cubic root of 55368000 is about 381.1415350321.

The spelling of 55368000 in words is "fifty-five million, three hundred sixty-eight thousand".