832482560 has 216 divisors, whose sum is σ = 2500494696. Its totient is φ = 263208960.

The previous prime is 832482557. The next prime is 832482601. The reversal of 832482560 is 65284238.

It can be written as a sum of positive squares in 4 ways, for example, as 23193856 + 809288704 = 4816^2 + 28448^2 .

It is a congruent number.

It is an unprimeable number.

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, 814850 + ... + 815870.

Almost surely, 2^832482560 is an apocalyptic number.

832482560 is a gapful number since it is divisible by the number (80) 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 832482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250247348).

832482560 is an abundant number, since it is smaller than the sum of its proper divisors (1668012136).

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

832482560 is a wasteful number, since it uses less digits than its factorization.

832482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 832482560 is about 28852.7738701152. The cubic root of 832482560 is about 940.7156764937.

The spelling of 832482560 in words is "eight hundred thirty-two million, four hundred eighty-two thousand, five hundred sixty".