832640 has 32 divisors (see below), whose sum is σ = 1992060. Its totient is φ = 332800.

The previous prime is 832639. The next prime is 832673. The reversal of 832640 is 46238.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 153664 = 824^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 1290.

2⁸³²⁶⁴⁰ is an apocalyptic number.

832640 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 832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996030).

832640 is an abundant number, since it is smaller than the sum of its proper divisors (1159420).

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

832640 is a wasteful number, since it uses less digits than its factorization.

832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 832640 is about 912.4910958470. The cubic root of 832640 is about 94.0774975810.

Adding to 832640 its reverse (46238), we get a palindrome (878878).

The spelling of 832640 in words is "eight hundred thirty-two thousand, six hundred forty".