55966842 has 64 divisors (see below), whose sum is σ = 130560000. Its totient is φ = 17748720.

The previous prime is 55966819. The next prime is 55966853. The reversal of 55966842 is 24866955.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111909 + ... + 112407.

It is an arithmetic number, because the mean of its divisors is an integer number (2040000).

Almost surely, 2^55966842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55966842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65280000).

55966842 is an abundant number, since it is smaller than the sum of its proper divisors (74593158).

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

55966842 is a wasteful number, since it uses less digits than its factorization.

55966842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 55966842 is about 7481.0989834382. The cubic root of 55966842 is about 382.5107109650.

The spelling of 55966842 in words is "fifty-five million, nine hundred sixty-six thousand, eight hundred forty-two".