833825664 has 160 divisors (see below), whose sum is σ = 2836191600. Its totient is φ = 238215168.

The previous prime is 833825623. The next prime is 833825669. The reversal of 833825664 is 466528338.

It is a happy number.

833825664 is a `hidden beast` number, since 8 + 3 + 3 + 82 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (833825669) 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 19 ways as a sum of consecutive naturals, for example, 66832 + ... + 78320.

Almost surely, 2^833825664 is an apocalyptic number.

833825664 is a gapful number since it is divisible by the number (84) 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 833825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418095800).

833825664 is an abundant number, since it is smaller than the sum of its proper divisors (2002365936).

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

833825664 is a wasteful number, since it uses less digits than its factorization.

833825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522 (or 11501 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 833825664 is about 28876.0396176484. The cubic root of 833825664 is about 941.2213127556.

The spelling of 833825664 in words is "eight hundred thirty-three million, eight hundred twenty-five thousand, six hundred sixty-four".