814076172 has 144 divisors (see below), whose sum is σ = 2592029440. Its totient is φ = 209672064.

The previous prime is 814076167. The next prime is 814076203. The reversal of 814076172 is 271670418.

814076172 is a `hidden beast` number, since 81 + 407 + 6 + 172 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137979 + ... + 143757.

Almost surely, 2^814076172 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 814076172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296014720).

814076172 is an abundant number, since it is smaller than the sum of its proper divisors (1777953268).

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

814076172 is a wasteful number, since it uses less digits than its factorization.

814076172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 814076172 is about 28532.0201177554. The cubic root of 814076172 is about 933.7307922265.

The spelling of 814076172 in words is "eight hundred fourteen million, seventy-six thousand, one hundred seventy-two".