823634016 has 96 divisors (see below), whose sum is σ = 2219374080. Its totient is φ = 267326976.

The previous prime is 823634011. The next prime is 823634027. The reversal of 823634016 is 610436328.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823634011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249495 + ... + 1250153.

It is an arithmetic number, because the mean of its divisors is an integer number (23118480).

Almost surely, 2^823634016 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 823634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109687040).

823634016 is an abundant number, since it is smaller than the sum of its proper divisors (1395740064).

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

823634016 is a wasteful number, since it uses less digits than its factorization.

823634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 823634016 is about 28699.0246524163. The cubic root of 823634016 is about 937.3708090067.

The spelling of 823634016 in words is "eight hundred twenty-three million, six hundred thirty-four thousand, sixteen".