306696320 has 128 divisors (see below), whose sum is σ = 887448960. Its totient is φ = 98942976.

The previous prime is 306696289. The next prime is 306696323. The reversal of 306696320 is 23696603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) 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 (35).

It is not an unprimeable number, because it can be changed into a prime (306696323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74147 + ... + 78173.

It is an arithmetic number, because the mean of its divisors is an integer number (6933195).

Almost surely, 2^306696320 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 306696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443724480).

306696320 is an abundant number, since it is smaller than the sum of its proper divisors (580752640).

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

306696320 is a wasteful number, since it uses less digits than its factorization.

306696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 306696320 is about 17512.7473572824. The cubic root of 306696320 is about 674.3771630117.

The spelling of 306696320 in words is "three hundred six million, six hundred ninety-six thousand, three hundred twenty".