813431688 has 32 divisors (see below), whose sum is σ = 2080874400. Its totient is φ = 264837888.

The previous prime is 813431683. The next prime is 813431693. The reversal of 813431688 is 886134318.

It is an interprime number because it is at equal distance from previous prime (813431683) and next prime (813431693).

It is a super-2 number, since 2×813431688² = 1323342222085058688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (813431681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393073 + ... + 395136.

It is an arithmetic number, because the mean of its divisors is an integer number (65027325).

Almost surely, 2^813431688 is an apocalyptic number.

It is an amenable number.

813431688 is an abundant number, since it is smaller than the sum of its proper divisors (1267442712).

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

813431688 is a wasteful number, since it uses less digits than its factorization.

813431688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788261 (or 788257 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 813431688 is about 28520.7238337319. The cubic root of 813431688 is about 933.4843233047.

The spelling of 813431688 in words is "eight hundred thirteen million, four hundred thirty-one thousand, six hundred eighty-eight".