168909312 has 160 divisors (see below), whose sum is σ = 529341120. Its totient is φ = 47185920.

The previous prime is 168909287. The next prime is 168909313. The reversal of 168909312 is 213909861.

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

It is not an unprimeable number, because it can be changed into a prime (168909313) 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, 219264 + ... + 220032.

It is an arithmetic number, because the mean of its divisors is an integer number (3308382).

Almost surely, 2^168909312 is an apocalyptic number.

168909312 is a gapful number since it is divisible by the number (12) 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 168909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670560).

168909312 is an abundant number, since it is smaller than the sum of its proper divisors (360431808).

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

168909312 is a wasteful number, since it uses less digits than its factorization.

168909312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 168909312 is about 12996.5115319458. The cubic root of 168909312 is about 552.7785694858.

The spelling of 168909312 in words is "one hundred sixty-eight million, nine hundred nine thousand, three hundred twelve".