56946820 has 36 divisors (see below), whose sum is σ = 139115340. Its totient is φ = 19524288.

The previous prime is 56946817. The next prime is 56946829. The reversal of 56946820 is 2864965.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 42016324 = 3864^2 + 6482^2 .

It is a super-2 number, since 2×56946820² = 6485880616224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56946829) 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 11 ways as a sum of consecutive naturals, for example, 28075 + ... + 30034.

It is an arithmetic number, because the mean of its divisors is an integer number (3864315).

Almost surely, 2^56946820 is an apocalyptic number.

It is an amenable number.

56946820 is an abundant number, since it is smaller than the sum of its proper divisors (82168520).

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

56946820 is a wasteful number, since it uses less digits than its factorization.

56946820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58132 (or 58123 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 56946820 is about 7546.3116818748. The cubic root of 56946820 is about 384.7303897521.

The spelling of 56946820 in words is "fifty-six million, nine hundred forty-six thousand, eight hundred twenty".