825899904 has 192 divisors, whose sum is σ = 2533986000. Its totient is φ = 257458176.

The previous prime is 825899897. The next prime is 825899909. The reversal of 825899904 is 409998528.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×825899904² = 1364221302854418432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825899909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122942 + ... + 2123330.

Almost surely, 2^825899904 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 825899904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266993000).

825899904 is an abundant number, since it is smaller than the sum of its proper divisors (1708086096).

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

825899904 is a wasteful number, since it uses less digits than its factorization.

825899904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 825899904 is about 28738.4742810052. The cubic root of 825899904 is about 938.2296178344.

The spelling of 825899904 in words is "eight hundred twenty-five million, eight hundred ninety-nine thousand, nine hundred four".