56784240 has 240 divisors, whose sum is σ = 207986688. Its totient is φ = 14370048.

The previous prime is 56784239. The next prime is 56784241. The reversal of 56784240 is 4248765.

56784240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56784239) and next prime (56784241).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 56784195 and 56784204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56784241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447057 + ... + 447183.

Almost surely, 2^56784240 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 56784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993344).

56784240 is an abundant number, since it is smaller than the sum of its proper divisors (151202448).

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

56784240 is a wasteful number, since it uses less digits than its factorization.

56784240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 56784240 is about 7535.5318325915. The cubic root of 56784240 is about 384.3639128271.

The spelling of 56784240 in words is "fifty-six million, seven hundred eighty-four thousand, two hundred forty".