300085968 has 320 divisors, whose sum is σ = 1039933440. Its totient is φ = 72382464.

The previous prime is 300085967. The next prime is 300085979. The reversal of 300085968 is 869580003.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300085967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2913405 + ... + 2913507.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^300085968 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 300085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

300085968 is an abundant number, since it is smaller than the sum of its proper divisors (739847472).

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

300085968 is a wasteful number, since it uses less digits than its factorization.

300085968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 300085968 is about 17322.9895803236. The cubic root of 300085968 is about 669.4968882106.

The spelling of 300085968 in words is "three hundred million, eighty-five thousand, nine hundred sixty-eight".