832241664 has 204 divisors, whose sum is σ = 2576331576. Its totient is φ = 257949696.

The previous prime is 832241659. The next prime is 832241687. The reversal of 832241664 is 466142238.

It is a tau number, because it is divible by the number of its divisors (204).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10026967 + ... + 10027049.

Almost surely, 2^832241664 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 832241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288165788).

832241664 is an abundant number, since it is smaller than the sum of its proper divisors (1744089912).

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

832241664 is an equidigital number, since it uses as much as digits as its factorization.

832241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 832241664 is about 28848.5989954452. The cubic root of 832241664 is about 940.6249292451.

The spelling of 832241664 in words is "eight hundred thirty-two million, two hundred forty-one thousand, six hundred sixty-four".