55966176 has 288 divisors, whose sum is σ = 203793408. Its totient is φ = 14192640.

The previous prime is 55966171. The next prime is 55966217. The reversal of 55966176 is 67166955.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55966171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788221 + ... + 788291.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^55966176 is an apocalyptic number.

55966176 is a gapful number since it is divisible by the number (56) 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 55966176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101896704).

55966176 is an abundant number, since it is smaller than the sum of its proper divisors (147827232).

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

55966176 is a wasteful number, since it uses less digits than its factorization.

55966176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 55966176 is about 7481.0544711291. The cubic root of 55966176 is about 382.5091936788.

The spelling of 55966176 in words is "fifty-five million, nine hundred sixty-six thousand, one hundred seventy-six".