55335168 has 216 divisors, whose sum is σ = 188767488. Its totient is φ = 15261696.

The previous prime is 55335151. The next prime is 55335169. The reversal of 55335168 is 86153355.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55335169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757980 + ... + 758052.

Almost surely, 2^55335168 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 55335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94383744).

55335168 is an abundant number, since it is smaller than the sum of its proper divisors (133432320).

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

55335168 is a wasteful number, since it uses less digits than its factorization.

55335168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 55335168 is about 7438.7611871870. The cubic root of 55335168 is about 381.0661839682.

It can be divided in two parts, 5533 and 5168, that added together give a palindrome (10701).

The spelling of 55335168 in words is "fifty-five million, three hundred thirty-five thousand, one hundred sixty-eight".