820888964 has 72 divisors (see below), whose sum is σ = 1742832000. Its totient is φ = 336909888.

The previous prime is 820888951. The next prime is 820888969. The reversal of 820888964 is 469888028.

Together with 921943035 it forms a betrothed pair.

It is not an unprimeable number, because it can be changed into a prime (820888969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789557 + ... + 790595.

It is an arithmetic number, because the mean of its divisors is an integer number (24206000).

Almost surely, 2^820888964 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 820888964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871416000).

820888964 is an abundant number, since it is smaller than the sum of its proper divisors (921943036).

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

820888964 is a wasteful number, since it uses less digits than its factorization.

820888964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The square root of 820888964 is about 28651.1599067123. The cubic root of 820888964 is about 936.3282765660.

The spelling of 820888964 in words is "eight hundred twenty million, eight hundred eighty-eight thousand, nine hundred sixty-four".