55845936 has 100 divisors (see below), whose sum is σ = 165734184. Its totient is φ = 18144000.

The previous prime is 55845931. The next prime is 55845943. The reversal of 55845936 is 63954855.

55845936 is a `hidden beast` number, since 5 + 58 + 4 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55845891 and 55845900.

It is not an unprimeable number, because it can be changed into a prime (55845931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52611 + ... + 53661.

Almost surely, 2^55845936 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 55845936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82867092).

55845936 is an abundant number, since it is smaller than the sum of its proper divisors (109888248).

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

55845936 is a wasteful number, since it uses less digits than its factorization.

55845936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55845936 is about 7473.0138498467. The cubic root of 55845936 is about 382.2350645185.

The spelling of 55845936 in words is "fifty-five million, eight hundred forty-five thousand, nine hundred thirty-six".