814339620 has 144 divisors (see below), whose sum is σ = 2684398080. Its totient is φ = 199065600.

The previous prime is 814339609. The next prime is 814339637. The reversal of 814339620 is 26933418.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102180 + ... + 109860.

Almost surely, 2^814339620 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 814339620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342199040).

814339620 is an abundant number, since it is smaller than the sum of its proper divisors (1870058460).

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

814339620 is a wasteful number, since it uses less digits than its factorization.

814339620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 814339620 is about 28536.6364521119. The cubic root of 814339620 is about 933.8315047428.

The spelling of 814339620 in words is "eight hundred fourteen million, three hundred thirty-nine thousand, six hundred twenty".