56966440 has 32 divisors (see below), whose sum is σ = 132597000. Its totient is φ = 22000384.

The previous prime is 56966419. The next prime is 56966449. The reversal of 56966440 is 4466965.

56966440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36554116 + 20412324 = 6046^2 + 4518^2 .

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 = 56966393 and 56966402.

It is not an unprimeable number, because it can be changed into a prime (56966449) 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 7 ways as a sum of consecutive naturals, for example, 23395 + ... + 25714.

Almost surely, 2^56966440 is an apocalyptic number.

It is an amenable number.

56966440 is an abundant number, since it is smaller than the sum of its proper divisors (75630560).

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

56966440 is a wasteful number, since it uses less digits than its factorization.

56966440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49149 (or 49145 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 56966440 is about 7547.6115427332. The cubic root of 56966440 is about 384.7745686517.

The spelling of 56966440 in words is "fifty-six million, nine hundred sixty-six thousand, four hundred forty".