832252680 has 192 divisors, whose sum is σ = 3273229440. Its totient is φ = 179030016.

The previous prime is 832252679. The next prime is 832252721. The reversal of 832252680 is 86252238.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33127 + ... + 52553.

It is an arithmetic number, because the mean of its divisors is an integer number (17048070).

Almost surely, 2^832252680 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 832252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636614720).

832252680 is an abundant number, since it is smaller than the sum of its proper divisors (2440976760).

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

832252680 is a wasteful number, since it uses less digits than its factorization.

832252680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19468 (or 19461 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 832252680 is about 28848.7899226293. The cubic root of 832252680 is about 940.6290794332.

It can be divided in two parts, 83225 and 2680, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 832252680 in words is "eight hundred thirty-two million, two hundred fifty-two thousand, six hundred eighty".