306139680 has 432 divisors, whose sum is σ = 1317580992. Its totient is φ = 63360000.

The previous prime is 306139667. The next prime is 306139697. The reversal of 306139680 is 86931603.

It is a happy number.

306139680 is a `hidden beast` number, since 30 + 613 + 9 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219555 + ... + 1219805.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2^306139680 is an apocalyptic number.

306139680 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 306139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658790496).

306139680 is an abundant number, since it is smaller than the sum of its proper divisors (1011441312).

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

306139680 is a wasteful number, since it uses less digits than its factorization.

306139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 306139680 is about 17496.8477160887. The cubic root of 306139680 is about 673.9689278822.

The spelling of 306139680 in words is "three hundred six million, one hundred thirty-nine thousand, six hundred eighty".