56049840 has 320 divisors, whose sum is σ = 241413120. Its totient is φ = 11612160.

The previous prime is 56049821. The next prime is 56049853. The reversal of 56049840 is 4894065.

56049840 is a `hidden beast` number, since 5 + 604 + 9 + 8 + 40 = 666.

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 = 56049795 and 56049804.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 166152 + ... + 166488.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^56049840 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 56049840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120706560).

56049840 is an abundant number, since it is smaller than the sum of its proper divisors (185363280).

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

56049840 is a wasteful number, since it uses less digits than its factorization.

56049840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56049840 is about 7486.6441080099. The cubic root of 56049840 is about 382.6997034828.

The spelling of 56049840 in words is "fifty-six million, forty-nine thousand, eight hundred forty".