832534560 has 432 divisors, whose sum is σ = 3366836928. Its totient is φ = 185702400.

The previous prime is 832534553. The next prime is 832534589. The reversal of 832534560 is 65435238.

It is a happy number.

It is a super-2 number, since 2×832534560² = 1386227587188787200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2676805 + ... + 2677115.

It is an arithmetic number, because the mean of its divisors is an integer number (7793604).

Almost surely, 2^832534560 is an apocalyptic number.

832534560 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 832534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683418464).

832534560 is an abundant number, since it is smaller than the sum of its proper divisors (2534302368).

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

832534560 is a wasteful number, since it uses less digits than its factorization.

832534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 832534560 is about 28853.6749825737. The cubic root of 832534560 is about 940.7352629688.

Adding to 832534560 its reverse (65435238), we get a palindrome (897969798).

The spelling of 832534560 in words is "eight hundred thirty-two million, five hundred thirty-four thousand, five hundred sixty".