56350944 has 192 divisors, whose sum is σ = 184161600. Its totient is φ = 16644096.

The previous prime is 56350939. The next prime is 56350949. The reversal of 56350944 is 44905365.

It is a happy number.

56350944 is a `hidden beast` number, since 563 + 5 + 0 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56350939) and next prime (56350949).

It is a super-2 number, since 2×56350944² = 6350857779382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56350899 and 56350908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56350949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325642 + ... + 325814.

It is an arithmetic number, because the mean of its divisors is an integer number (959175).

Almost surely, 2^56350944 is an apocalyptic number.

56350944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56350944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92080800).

56350944 is an abundant number, since it is smaller than the sum of its proper divisors (127810656).

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

56350944 is a wasteful number, since it uses less digits than its factorization.

56350944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56350944 is about 7506.7265835383. The cubic root of 56350944 is about 383.3837772726.

The spelling of 56350944 in words is "fifty-six million, three hundred fifty thousand, nine hundred forty-four".