306846720 has 132 divisors (see below), whose sum is σ = 1063375560. Its totient is φ = 81813504.

The previous prime is 306846707. The next prime is 306846721. The reversal of 306846720 is 27648603.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306846721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42751 + ... + 49409.

Almost surely, 2^306846720 is an apocalyptic number.

306846720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531687780).

306846720 is an abundant number, since it is smaller than the sum of its proper divisors (756528840).

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

306846720 is a wasteful number, since it uses less digits than its factorization.

306846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 306846720 is about 17517.0408459877. The cubic root of 306846720 is about 674.4873803438.

The spelling of 306846720 in words is "three hundred six million, eight hundred forty-six thousand, seven hundred twenty".