56784640 has 144 divisors (see below), whose sum is σ = 153790560. Its totient is φ = 19906560.

The previous prime is 56784613. The next prime is 56784643. The reversal of 56784640 is 4648765.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 56784593 and 56784602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56784643) 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, 520906 + ... + 521014.

It is an arithmetic number, because the mean of its divisors is an integer number (1067990).

Almost surely, 2^56784640 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 56784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76895280).

56784640 is an abundant number, since it is smaller than the sum of its proper divisors (97005920).

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

56784640 is a wasteful number, since it uses less digits than its factorization.

56784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 56784640 is about 7535.5583734717. The cubic root of 56784640 is about 384.3648153381.

The spelling of 56784640 in words is "fifty-six million, seven hundred eighty-four thousand, six hundred forty".