811593216 has 160 divisors (see below), whose sum is σ = 2745895680. Its totient is φ = 231856128.

The previous prime is 811593197. The next prime is 811593259. The reversal of 811593216 is 612395118.

It is a super-3 number, since 3×811593216³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92575 + ... + 100961.

It is an arithmetic number, because the mean of its divisors is an integer number (17161848).

Almost surely, 2^811593216 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 811593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372947840).

811593216 is an abundant number, since it is smaller than the sum of its proper divisors (1934302464).

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

811593216 is an equidigital number, since it uses as much as digits as its factorization.

811593216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8421 (or 8399 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 811593216 is about 28488.4751434681. The cubic root of 811593216 is about 932.7805234310.

The spelling of 811593216 in words is "eight hundred eleven million, five hundred ninety-three thousand, two hundred sixteen".