816161248 has 72 divisors (see below), whose sum is σ = 1878207912. Its totient is φ = 348090624.

The previous prime is 816161221. The next prime is 816161249. The reversal of 816161248 is 842161618.

It is a super-2 number, since 2×816161248² = 1332238365473835008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816161249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354790 + ... + 357082.

It is an arithmetic number, because the mean of its divisors is an integer number (26086221).

Almost surely, 2^816161248 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 816161248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939103956).

816161248 is an abundant number, since it is smaller than the sum of its proper divisors (1062046664).

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

816161248 is a wasteful number, since it uses less digits than its factorization.

816161248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2529 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 816161248 is about 28568.5359792902. The cubic root of 816161248 is about 934.5272942039.

The spelling of 816161248 in words is "eight hundred sixteen million, one hundred sixty-one thousand, two hundred forty-eight".