810827648 has 96 divisors (see below), whose sum is σ = 1792413360. Its totient is φ = 364593152.

The previous prime is 810827621. The next prime is 810827653. The reversal of 810827648 is 846728018.

It is a super-2 number, since 2×810827648² = 1314882949522423808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 810827599 and 810827608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850340 + ... + 851292.

Almost surely, 2^810827648 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 810827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896206680).

810827648 is an abundant number, since it is smaller than the sum of its proper divisors (981585712).

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

810827648 is a wasteful number, since it uses less digits than its factorization.

810827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 810827648 is about 28475.0355223659. The cubic root of 810827648 is about 932.4871368920.

The spelling of 810827648 in words is "eight hundred ten million, eight hundred twenty-seven thousand, six hundred forty-eight".