816049872 has 120 divisors (see below), whose sum is σ = 2549577888. Its totient is φ = 241516800.

The previous prime is 816049849. The next prime is 816049873. The reversal of 816049872 is 278940618.

816049872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816049873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62122 + ... + 74102.

Almost surely, 2^816049872 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 816049872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274788944).

816049872 is an abundant number, since it is smaller than the sum of its proper divisors (1733528016).

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

816049872 is a wasteful number, since it uses less digits than its factorization.

816049872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049 (or 12040 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 816049872 is about 28566.5866354383. The cubic root of 816049872 is about 934.4847827324.

The spelling of 816049872 in words is "eight hundred sixteen million, forty-nine thousand, eight hundred seventy-two".