307140768 has 192 divisors, whose sum is σ = 1035296640. Its totient is φ = 87552000.

The previous prime is 307140767. The next prime is 307140791. The reversal of 307140768 is 867041703.

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

It is not an unprimeable number, because it can be changed into a prime (307140767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160618 + ... + 162518.

It is an arithmetic number, because the mean of its divisors is an integer number (5392170).

Almost surely, 2^307140768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517648320).

307140768 is an abundant number, since it is smaller than the sum of its proper divisors (728155872).

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

307140768 is a wasteful number, since it uses less digits than its factorization.

307140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 307140768 is about 17525.4320346176. The cubic root of 307140768 is about 674.7027629577.

The spelling of 307140768 in words is "three hundred seven million, one hundred forty thousand, seven hundred sixty-eight".