66846820 has 12 divisors (see below), whose sum is σ = 140378364. Its totient is φ = 26738720.

The previous prime is 66846817. The next prime is 66846869. The reversal of 66846820 is 2864866.

It can be written as a sum of positive squares in 2 ways, for example, as 35307364 + 31539456 = 5942^2 + 5616^2 .

It is a super-2 number, since 2×66846820² = 8936994688224800, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1671151 + ... + 1671190.

It is an arithmetic number, because the mean of its divisors is an integer number (11698197).

Almost surely, 2^66846820 is an apocalyptic number.

It is an amenable number.

66846820 is an abundant number, since it is smaller than the sum of its proper divisors (73531544).

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

66846820 is a wasteful number, since it uses less digits than its factorization.

66846820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342350 (or 3342348 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 66846820 is about 8175.9904598770. The cubic root of 66846820 is about 405.8450475204.

The spelling of 66846820 in words is "sixty-six million, eight hundred forty-six thousand, eight hundred twenty".