823690368 has 96 divisors (see below), whose sum is σ = 2384532540. Its totient is φ = 272910336.

The previous prime is 823690349. The next prime is 823690391. The reversal of 823690368 is 863096328.

It can be written as a sum of positive squares in 2 ways, for example, as 718668864 + 105021504 = 26808^2 + 10248^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197230 + ... + 201362.

Almost surely, 2^823690368 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 823690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192266270).

823690368 is an abundant number, since it is smaller than the sum of its proper divisors (1560842172).

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

823690368 is a wasteful number, since it uses less digits than its factorization.

823690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 823690368 is about 28700.0064111491. The cubic root of 823690368 is about 937.3921864285.

The spelling of 823690368 in words is "eight hundred twenty-three million, six hundred ninety thousand, three hundred sixty-eight".