306678960 has 200 divisors, whose sum is σ = 1217484576. Its totient is φ = 70087680.

The previous prime is 306678937. The next prime is 306679039. The reversal of 306678960 is 69876603.

It is a super-3 number, since 3×306678960³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41980 + ... + 48740.

Almost surely, 2^306678960 is an apocalyptic number.

306678960 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 306678960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608742288).

306678960 is an abundant number, since it is smaller than the sum of its proper divisors (910805616).

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

306678960 is a wasteful number, since it uses less digits than its factorization.

306678960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 306678960 is about 17512.2517113020. The cubic root of 306678960 is about 674.3644387981.

The spelling of 306678960 in words is "three hundred six million, six hundred seventy-eight thousand, nine hundred sixty".