832544064 has 336 divisors, whose sum is σ = 2824398720. Its totient is φ = 231813120.

The previous prime is 832544059. The next prime is 832544099. The reversal of 832544064 is 460445238.

832544064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 4226014 + ... + 4226210.

Almost surely, 2^832544064 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 832544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412199360).

832544064 is an abundant number, since it is smaller than the sum of its proper divisors (1991854656).

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

832544064 is a wasteful number, since it uses less digits than its factorization.

832544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 832544064 is about 28853.8396751628. The cubic root of 832544064 is about 940.7388426856.

The spelling of 832544064 in words is "eight hundred thirty-two million, five hundred forty-four thousand, sixty-four".