305680644 has 36 divisors (see below), whose sum is σ = 773334016. Its totient is φ = 101809008.

The previous prime is 305680637. The next prime is 305680657. The reversal of 305680644 is 446086503.

305680644 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 8 + 0 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×305680644² = 186881312232509472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 305680599 and 305680608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52797 + ... + 58299.

Almost surely, 2^305680644 is an apocalyptic number.

It is an amenable number.

305680644 is an abundant number, since it is smaller than the sum of its proper divisors (467653372).

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

305680644 is a wasteful number, since it uses less digits than its factorization.

305680644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 305680644 is about 17483.7251179490. The cubic root of 305680644 is about 673.6319022482.

The spelling of 305680644 in words is "three hundred five million, six hundred eighty thousand, six hundred forty-four".