814215168 has 156 divisors (see below), whose sum is σ = 2534295400. Its totient is φ = 250380288.

The previous prime is 814215167. The next prime is 814215179. The reversal of 814215168 is 861512418.

It is a tau number, because it is divible by the number of its divisors (156).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814215167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478383 + ... + 480081.

Almost surely, 2^814215168 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 814215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267147700).

814215168 is an abundant number, since it is smaller than the sum of its proper divisors (1720080232).

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

814215168 is a wasteful number, since it uses less digits than its factorization.

814215168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1717 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 814215168 is about 28534.4558034668. The cubic root of 814215168 is about 933.7839311767.

The spelling of 814215168 in words is "eight hundred fourteen million, two hundred fifteen thousand, one hundred sixty-eight".