814168320 has 216 divisors, whose sum is σ = 3025479744. Its totient is φ = 186052608.

The previous prime is 814168307. The next prime is 814168337. The reversal of 814168320 is 23861418.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185997 + ... + 190323.

Almost surely, 2^814168320 is an apocalyptic number.

814168320 is a gapful number since it is divisible by the number (80) 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 814168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512739872).

814168320 is an abundant number, since it is smaller than the sum of its proper divisors (2211311424).

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

814168320 is a wasteful number, since it uses less digits than its factorization.

814168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 814168320 is about 28533.6348893722. The cubic root of 814168320 is about 933.7660215993.

The spelling of 814168320 in words is "eight hundred fourteen million, one hundred sixty-eight thousand, three hundred twenty".