816246648 has 96 divisors (see below), whose sum is σ = 2539611360. Its totient is φ = 232001280.

The previous prime is 816246637. The next prime is 816246659. The reversal of 816246648 is 846642618.

It is an interprime number because it is at equal distance from previous prime (816246637) and next prime (816246659).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 95178 + ... + 103398.

It is an arithmetic number, because the mean of its divisors is an integer number (26454285).

Almost surely, 2^816246648 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 816246648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269805680).

816246648 is an abundant number, since it is smaller than the sum of its proper divisors (1723364712).

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

816246648 is a wasteful number, since it uses less digits than its factorization.

816246648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8437 (or 8430 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 816246648 is about 28570.0305915132. The cubic root of 816246648 is about 934.5598881910.

The spelling of 816246648 in words is "eight hundred sixteen million, two hundred forty-six thousand, six hundred forty-eight".