55676160 has 216 divisors, whose sum is σ = 200884320. Its totient is φ = 14764032.

The previous prime is 55676113. The next prime is 55676167. The reversal of 55676160 is 6167655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55676167) 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, 310951 + ... + 311129.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^55676160 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 55676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100442160).

55676160 is an abundant number, since it is smaller than the sum of its proper divisors (145208160).

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

55676160 is an equidigital number, since it uses as much as digits as its factorization.

55676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55676160 is about 7461.6459310262. The cubic root of 55676160 is about 381.8473298713.

The spelling of 55676160 in words is "fifty-five million, six hundred seventy-six thousand, one hundred sixty".