820635432 has 32 divisors (see below), whose sum is σ = 2107039200. Its totient is φ = 266151744.

The previous prime is 820635427. The next prime is 820635437. The reversal of 820635432 is 234536028.

It is a happy number.

820635432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820635427) and next prime (820635437).

It is a junction number, because it is equal to n+sod(n) for n = 820635393 and 820635402.

It is not an unprimeable number, because it can be changed into a prime (820635437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461182 + ... + 462957.

It is an arithmetic number, because the mean of its divisors is an integer number (65844975).

Almost surely, 2^820635432 is an apocalyptic number.

It is an amenable number.

820635432 is an abundant number, since it is smaller than the sum of its proper divisors (1286403768).

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

820635432 is a wasteful number, since it uses less digits than its factorization.

820635432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924185 (or 924181 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 820635432 is about 28646.7351019274. The cubic root of 820635432 is about 936.2318714757.

The spelling of 820635432 in words is "eight hundred twenty million, six hundred thirty-five thousand, four hundred thirty-two".