816093408 has 96 divisors (see below), whose sum is σ = 2386692000. Its totient is φ = 242436096.

The previous prime is 816093403. The next prime is 816093427. The reversal of 816093408 is 804390618.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816093403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24918 + ... + 47466.

It is an arithmetic number, because the mean of its divisors is an integer number (24861375).

Almost surely, 2^816093408 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 816093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193346000).

816093408 is an abundant number, since it is smaller than the sum of its proper divisors (1570598592).

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

816093408 is a wasteful number, since it uses less digits than its factorization.

816093408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22604 (or 22596 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 816093408 is about 28567.3486344113. The cubic root of 816093408 is about 934.5014005918.

The spelling of 816093408 in words is "eight hundred sixteen million, ninety-three thousand, four hundred eight".