814874116 has 27 divisors (see below), whose sum is σ = 1659664839. Its totient is φ = 349060488.

The previous prime is 814874111. The next prime is 814874119. The reversal of 814874116 is 611478418.

The square root of 814874116 is 28546.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (43008) is a multiple of the sum of its prime divisors (2048).

It is not an unprimeable number, because it can be changed into a prime (814874111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 398625 + ... + 400663.

Almost surely, 2^814874116 is an apocalyptic number.

814874116 is the 28546-th square number.

It is an amenable number.

814874116 is an abundant number, since it is smaller than the sum of its proper divisors (844790723).

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

814874116 is an equidigital number, since it uses as much as digits as its factorization.

814874116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 2048 counting only the distinct ones).

The product of its digits is 43008, while the sum is 40.

The cubic root of 814874116 is about 934.0357684306.

The spelling of 814874116 in words is "eight hundred fourteen million, eight hundred seventy-four thousand, one hundred sixteen".