55959936 has 64 divisors (see below), whose sum is σ = 151143600. Its totient is φ = 18339840.

The previous prime is 55959931. The next prime is 55959949. The reversal of 55959936 is 63995955.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55959931) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22230 + ... + 24618.

Almost surely, 2^55959936 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 55959936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571800).

55959936 is an abundant number, since it is smaller than the sum of its proper divisors (95183664).

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

55959936 is a wasteful number, since it uses less digits than its factorization.

55959936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2455 counting only the distinct ones).

The product of its digits is 1640250, while the sum is 51.

The square root of 55959936 is about 7480.6374059969. The cubic root of 55959936 is about 382.4949770796.

The spelling of 55959936 in words is "fifty-five million, nine hundred fifty-nine thousand, nine hundred thirty-six".