825911424 has 256 divisors, whose sum is σ = 2714342400. Its totient is φ = 245514240.

The previous prime is 825911389. The next prime is 825911461. The reversal of 825911424 is 424119528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392472 + ... + 1393064.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^825911424 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 825911424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

825911424 is an abundant number, since it is smaller than the sum of its proper divisors (1888430976).

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

825911424 is a wasteful number, since it uses less digits than its factorization.

825911424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 825911424 is about 28738.6747084830. The cubic root of 825911424 is about 938.2339800881.

It can be divided in two parts, 8259 and 11424, that added together give a 9-th power (19683 = 3⁹).

The spelling of 825911424 in words is "eight hundred twenty-five million, nine hundred eleven thousand, four hundred twenty-four".