823550112 has 192 divisors, whose sum is σ = 2994969600. Its totient is φ = 213891840.

The previous prime is 823550111. The next prime is 823550113. The reversal of 823550112 is 211055328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (823550111) and next prime (823550113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (823550111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60339 + ... + 72717.

It is an arithmetic number, because the mean of its divisors is an integer number (15598800).

Almost surely, 2^823550112 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 823550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497484800).

823550112 is an abundant number, since it is smaller than the sum of its proper divisors (2171419488).

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

823550112 is a wasteful number, since it uses less digits than its factorization.

823550112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12416 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 823550112 is about 28697.5628233479. The cubic root of 823550112 is about 937.3389777849.

The spelling of 823550112 in words is "eight hundred twenty-three million, five hundred fifty thousand, one hundred twelve".