814311008 has 72 divisors (see below), whose sum is σ = 1887688152. Its totient is φ = 344730624.

The previous prime is 814310993. The next prime is 814311011. The reversal of 814311008 is 800113418.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 127016 + ... + 133272.

It is an arithmetic number, because the mean of its divisors is an integer number (26217891).

Almost surely, 2^814311008 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 814311008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943844076).

814311008 is an abundant number, since it is smaller than the sum of its proper divisors (1073377144).

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

814311008 is a wasteful number, since it uses less digits than its factorization.

814311008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 814311008 is about 28536.1351272382. The cubic root of 814311008 is about 933.8205678236.

The spelling of 814311008 in words is "eight hundred fourteen million, three hundred eleven thousand, eight".