55368768 has 112 divisors (see below), whose sum is σ = 180360320. Its totient is φ = 14598144.

The previous prime is 55368713. The next prime is 55368787. The reversal of 55368768 is 86786355.

It is a tau number, because it is divible by the number of its divisors (112).

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

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 15 ways as a sum of consecutive naturals, for example, 15888 + ... + 19056.

It is an arithmetic number, because the mean of its divisors is an integer number (1610360).

Almost surely, 2^55368768 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 55368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90180160).

55368768 is an abundant number, since it is smaller than the sum of its proper divisors (124991552).

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

55368768 is a wasteful number, since it uses less digits than its factorization.

55368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3194 counting only the distinct ones).

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

The square root of 55368768 is about 7441.0192850173. The cubic root of 55368768 is about 381.1432972735.

The spelling of 55368768 in words is "fifty-five million, three hundred sixty-eight thousand, seven hundred sixty-eight".