816591468 has 144 divisors (see below), whose sum is σ = 2434295808. Its totient is φ = 210672000.

The previous prime is 816591467. The next prime is 816591473. The reversal of 816591468 is 864195618.

It is a super-2 number, since 2×816591468² = 1333643251220790048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (816591463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235058 + ... + 1235718.

It is an arithmetic number, because the mean of its divisors is an integer number (16904832).

Almost surely, 2^816591468 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 816591468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217147904).

816591468 is an abundant number, since it is smaller than the sum of its proper divisors (1617704340).

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

816591468 is a wasteful number, since it uses less digits than its factorization.

816591468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 816591468 is about 28576.0645995910. The cubic root of 816591468 is about 934.6914699760.

The spelling of 816591468 in words is "eight hundred sixteen million, five hundred ninety-one thousand, four hundred sixty-eight".