825168168 has 256 divisors, whose sum is σ = 2737152000. Its totient is φ = 227404800.

The previous prime is 825168163. The next prime is 825168203. The reversal of 825168168 is 861861528.

It is not an unprimeable number, because it can be changed into a prime (825168161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1251823 + ... + 1252481.

It is an arithmetic number, because the mean of its divisors is an integer number (10692000).

Almost surely, 2^825168168 is an apocalyptic number.

825168168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825168168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368576000).

825168168 is an abundant number, since it is smaller than the sum of its proper divisors (1911983832).

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

825168168 is a wasteful number, since it uses less digits than its factorization.

825168168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 825168168 is about 28725.7405126482. The cubic root of 825168168 is about 937.9524497667.

The spelling of 825168168 in words is "eight hundred twenty-five million, one hundred sixty-eight thousand, one hundred sixty-eight".