306967164 has 192 divisors, whose sum is σ = 914457600. Its totient is φ = 79779840.

The previous prime is 306967163. The next prime is 306967169. The reversal of 306967164 is 461769603.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306967163) 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, 2868799 + ... + 2868905.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^306967164 is an apocalyptic number.

306967164 is a gapful number since it is divisible by the number (34) 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 306967164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

306967164 is an abundant number, since it is smaller than the sum of its proper divisors (607490436).

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

306967164 is a wasteful number, since it uses less digits than its factorization.

306967164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 306967164 is about 17520.4784181255. The cubic root of 306967164 is about 674.5756191134.

The spelling of 306967164 in words is "three hundred six million, nine hundred sixty-seven thousand, one hundred sixty-four".