811688346 has 48 divisors (see below), whose sum is σ = 2021056128. Its totient is φ = 230623200.

The previous prime is 811688333. The next prime is 811688359. The reversal of 811688346 is 643886118.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (811688333) and next prime (811688359).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5011 + ... + 40601.

It is an arithmetic number, because the mean of its divisors is an integer number (42105336).

Almost surely, 2^811688346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811688346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010528064).

811688346 is an abundant number, since it is smaller than the sum of its proper divisors (1209367782).

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

811688346 is a wasteful number, since it uses less digits than its factorization.

811688346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35787 (or 35784 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 811688346 is about 28490.1447170772. The cubic root of 811688346 is about 932.8169669525.

The spelling of 811688346 in words is "eight hundred eleven million, six hundred eighty-eight thousand, three hundred forty-six".