55953936 has 160 divisors (see below), whose sum is σ = 179452800. Its totient is φ = 16588800.

The previous prime is 55953929. The next prime is 55953959. The reversal of 55953936 is 63935955.

It is a happy number.

55953936 is a `hidden beast` number, since 559 + 5 + 3 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55953891 and 55953900.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 139336 + ... + 139736.

It is an arithmetic number, because the mean of its divisors is an integer number (1121580).

Almost surely, 2^55953936 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 55953936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89726400).

55953936 is an abundant number, since it is smaller than the sum of its proper divisors (123498864).

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

55953936 is a wasteful number, since it uses less digits than its factorization.

55953936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 546750, while the sum is 45.

The square root of 55953936 is about 7480.2363599020. The cubic root of 55953936 is about 382.4813062759.

The spelling of 55953936 in words is "fifty-five million, nine hundred fifty-three thousand, nine hundred thirty-six".