814993608 has 128 divisors (see below), whose sum is σ = 2427223680. Its totient is φ = 224778240.

The previous prime is 814993607. The next prime is 814993631. The reversal of 814993608 is 806399418.

It is not an unprimeable number, because it can be changed into a prime (814993601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248910 + ... + 252162.

It is an arithmetic number, because the mean of its divisors is an integer number (18962685).

Almost surely, 2^814993608 is an apocalyptic number.

814993608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814993608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213611840).

814993608 is an abundant number, since it is smaller than the sum of its proper divisors (1612230072).

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

814993608 is a wasteful number, since it uses less digits than its factorization.

814993608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 814993608 is about 28548.0928960237. The cubic root of 814993608 is about 934.0814214318.

The spelling of 814993608 in words is "eight hundred fourteen million, nine hundred ninety-three thousand, six hundred eight".