832968360 has 320 divisors, whose sum is σ = 3369801600. Its totient is φ = 180278784.

The previous prime is 832968343. The next prime is 832968361. The reversal of 832968360 is 63869238.

It is a super-2 number, since 2×832968360² = 1387672577522179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (832968361) 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 79 ways as a sum of consecutive naturals, for example, 429954 + ... + 431886.

It is an arithmetic number, because the mean of its divisors is an integer number (10530630).

Almost surely, 2^832968360 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 832968360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684900800).

832968360 is an abundant number, since it is smaller than the sum of its proper divisors (2536833240).

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

832968360 is a wasteful number, since it uses less digits than its factorization.

832968360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 832968360 is about 28861.1912436060. The cubic root of 832968360 is about 940.8986275975.

The spelling of 832968360 in words is "eight hundred thirty-two million, nine hundred sixty-eight thousand, three hundred sixty".