816889648 has 40 divisors (see below), whose sum is σ = 1689534720. Its totient is φ = 381487680.

The previous prime is 816889639. The next prime is 816889679. The reversal of 816889648 is 846988618.

It is a junction number, because it is equal to n+sod(n) for n = 816889592 and 816889601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2661 + ... + 40507.

It is an arithmetic number, because the mean of its divisors is an integer number (42238368).

Almost surely, 2^816889648 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 816889648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844767360).

816889648 is an abundant number, since it is smaller than the sum of its proper divisors (872645072).

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

816889648 is a wasteful number, since it uses less digits than its factorization.

816889648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37945 (or 37939 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 58.

The square root of 816889648 is about 28581.2814268360. The cubic root of 816889648 is about 934.8052242815.

The spelling of 816889648 in words is "eight hundred sixteen million, eight hundred eighty-nine thousand, six hundred forty-eight".