816884352 has 96 divisors (see below), whose sum is σ = 2437824480. Its totient is φ = 272284416.

The previous prime is 816884333. The next prime is 816884359. The reversal of 816884352 is 253488618.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 816884298 and 816884307.

It is not an unprimeable number, because it can be changed into a prime (816884359) 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, 17973 + ... + 44235.

It is an arithmetic number, because the mean of its divisors is an integer number (25394005).

Almost surely, 2^816884352 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 816884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218912240).

816884352 is an abundant number, since it is smaller than the sum of its proper divisors (1620940128).

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

816884352 is an equidigital number, since it uses as much as digits as its factorization.

816884352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26292 (or 26268 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 816884352 is about 28581.1887786355. The cubic root of 816884352 is about 934.8032041232.

The spelling of 816884352 in words is "eight hundred sixteen million, eight hundred eighty-four thousand, three hundred fifty-two".