832363680 has 96 divisors (see below), whose sum is σ = 2626041600. Its totient is φ = 221617152.

The previous prime is 832363663. The next prime is 832363691. The reversal of 832363680 is 86363238.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497886 + ... + 499554.

It is an arithmetic number, because the mean of its divisors is an integer number (27354600).

Almost surely, 2^832363680 is an apocalyptic number.

832363680 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 832363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313020800).

832363680 is an abundant number, since it is smaller than the sum of its proper divisors (1793677920).

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

832363680 is a wasteful number, since it uses less digits than its factorization.

832363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 832363680 is about 28850.7136826804. The cubic root of 832363680 is about 940.6708957345.

The spelling of 832363680 in words is "eight hundred thirty-two million, three hundred sixty-three thousand, six hundred eighty".