823948116 has 96 divisors (see below), whose sum is σ = 2068416000. Its totient is φ = 254757888.

The previous prime is 823948109. The next prime is 823948133. The reversal of 823948116 is 611849328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1145605 + ... + 1146323.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 2^823948116 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 823948116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208000).

823948116 is an abundant number, since it is smaller than the sum of its proper divisors (1244467884).

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

823948116 is a wasteful number, since it uses less digits than its factorization.

823948116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 823948116 is about 28704.4964421953. The cubic root of 823948116 is about 937.4899520345.

The spelling of 823948116 in words is "eight hundred twenty-three million, nine hundred forty-eight thousand, one hundred sixteen".