820632642 has 32 divisors (see below), whose sum is σ = 1656607680. Its totient is φ = 270999360.

The previous prime is 820632623. The next prime is 820632677. The reversal of 820632642 is 246236028.

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, 316909 + ... + 319487.

It is an arithmetic number, because the mean of its divisors is an integer number (51768990).

Almost surely, 2^820632642 is an apocalyptic number.

820632642 is an abundant number, since it is smaller than the sum of its proper divisors (835975038).

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

820632642 is a wasteful number, since it uses less digits than its factorization.

820632642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 820632642 is about 28646.6864052372. The cubic root of 820632642 is about 936.2308104727.

The spelling of 820632642 in words is "eight hundred twenty million, six hundred thirty-two thousand, six hundred forty-two".