55936896 has 128 divisors (see below), whose sum is σ = 158760960. Its totient is φ = 17418240.

The previous prime is 55936891. The next prime is 55936901. The reversal of 55936896 is 69863955.

It is an interprime number because it is at equal distance from previous prime (55936891) and next prime (55936901).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×55936896² = 6257872668229632, which contains 22 as substring.

Its product of digits (1749600) is a multiple of the sum of its prime divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55936891) 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 15 ways as a sum of consecutive naturals, for example, 440385 + ... + 440511.

It is an arithmetic number, because the mean of its divisors is an integer number (1240320).

Almost surely, 2^55936896 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 55936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380480).

55936896 is an abundant number, since it is smaller than the sum of its proper divisors (102824064).

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

55936896 is a wasteful number, since it uses less digits than its factorization.

55936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 51.

The square root of 55936896 is about 7479.0972717301. The cubic root of 55936896 is about 382.4424758639.

The spelling of 55936896 in words is "fifty-five million, nine hundred thirty-six thousand, eight hundred ninety-six".