825783168 has 384 divisors, whose sum is σ = 2835371520. Its totient is φ = 208023552.

The previous prime is 825783139. The next prime is 825783193. The reversal of 825783168 is 861387528.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22318446 + ... + 22318482.

It is an arithmetic number, because the mean of its divisors is an integer number (7383780).

Almost surely, 2^825783168 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 825783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417685760).

825783168 is an abundant number, since it is smaller than the sum of its proper divisors (2009588352).

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

825783168 is a wasteful number, since it uses less digits than its factorization.

825783168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 825783168 is about 28736.4432037091. The cubic root of 825783168 is about 938.1854113743.

The spelling of 825783168 in words is "eight hundred twenty-five million, seven hundred eighty-three thousand, one hundred sixty-eight".