820913632 has 96 divisors (see below), whose sum is σ = 2022257664. Its totient is φ = 318681600.

The previous prime is 820913581. The next prime is 820913647. The reversal of 820913632 is 236319028.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061598 + ... + 1062370.

It is an arithmetic number, because the mean of its divisors is an integer number (21065184).

Almost surely, 2^820913632 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 820913632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011128832).

820913632 is an abundant number, since it is smaller than the sum of its proper divisors (1201344032).

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

820913632 is a wasteful number, since it uses less digits than its factorization.

820913632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 820913632 is about 28651.5903921580. The cubic root of 820913632 is about 936.3376554693.

The spelling of 820913632 in words is "eight hundred twenty million, nine hundred thirteen thousand, six hundred thirty-two".