832820985360 has 3200 divisors, whose sum is σ = 4022992512000. Its totient is φ = 158018273280.

The previous prime is 832820985307. The next prime is 832820985361. The reversal of 832820985360 is 63589028238.

832820985360 is a `hidden beast` number, since 8 + 328 + 209 + 8 + 53 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 832820985297 and 832820985306.

It is not an unprimeable number, because it can be changed into a prime (832820985361) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 20312706940 + ... + 20312706980.

It is an arithmetic number, because the mean of its divisors is an integer number (1257185160).

Almost surely, 2^832820985360 is an apocalyptic number.

832820985360 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 832820985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011496256000).

832820985360 is an abundant number, since it is smaller than the sum of its proper divisors (3190171526640).

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

832820985360 is a wasteful number, since it uses less digits than its factorization.

832820985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 832820985360 in words is "eight hundred thirty-two billion, eight hundred twenty million, nine hundred eighty-five thousand, three hundred sixty".