814611648 has 56 divisors (see below), whose sum is σ = 2161714752. Its totient is φ = 270732544.

The previous prime is 814611619. The next prime is 814611649. The reversal of 814611648 is 846116418.

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 (814611649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60511 + ... + 72737.

Almost surely, 2^814611648 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 814611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080857376).

814611648 is an abundant number, since it is smaller than the sum of its proper divisors (1347103104).

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

814611648 is a wasteful number, since it uses less digits than its factorization.

814611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12589 (or 12579 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 814611648 is about 28541.4023481678. The cubic root of 814611648 is about 933.9354744829.

The spelling of 814611648 in words is "eight hundred fourteen million, six hundred eleven thousand, six hundred forty-eight".