820168672 has 48 divisors (see below), whose sum is σ = 1714934592. Its totient is φ = 384778240.

The previous prime is 820168669. The next prime is 820168673. The reversal of 820168672 is 276861028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820168673) 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, 189897 + ... + 194167.

It is an arithmetic number, because the mean of its divisors is an integer number (35727804).

Almost surely, 2^820168672 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 820168672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857467296).

820168672 is an abundant number, since it is smaller than the sum of its proper divisors (894765920).

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

820168672 is a wasteful number, since it uses less digits than its factorization.

820168672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 820168672 is about 28638.5871159874. The cubic root of 820168672 is about 936.0543348788.

The spelling of 820168672 in words is "eight hundred twenty million, one hundred sixty-eight thousand, six hundred seventy-two".