56730240 has 384 divisors, whose sum is σ = 237211200. Its totient is φ = 12773376.

The previous prime is 56730239. The next prime is 56730253. The reversal of 56730240 is 4203765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846687 + ... + 846753.

Almost surely, 2^56730240 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 56730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118605600).

56730240 is an abundant number, since it is smaller than the sum of its proper divisors (180480960).

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

56730240 is a wasteful number, since it uses less digits than its factorization.

56730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56730240 is about 7531.9479552105. The cubic root of 56730240 is about 384.2420349135.

The spelling of 56730240 in words is "fifty-six million, seven hundred thirty thousand, two hundred forty".