832228640 has 48 divisors (see below), whose sum is σ = 1967975352. Its totient is φ = 332580864.

The previous prime is 832228627. The next prime is 832228643. The reversal of 832228640 is 46822238.

It can be written as a sum of positive squares in 4 ways, for example, as 690428176 + 141800464 = 26276^2 + 11908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 832228640.

It is not an unprimeable number, because it can be changed into a prime (832228643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253892 + ... + 257148.

Almost surely, 2^832228640 is an apocalyptic number.

832228640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

832228640 is an abundant number, since it is smaller than the sum of its proper divisors (1135746712).

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

832228640 is a wasteful number, since it uses less digits than its factorization.

832228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 832228640 is about 28848.3732643628. The cubic root of 832228640 is about 940.6200225120.

The spelling of 832228640 in words is "eight hundred thirty-two million, two hundred twenty-eight thousand, six hundred forty".