821412160 has 112 divisors (see below), whose sum is σ = 2009851200. Its totient is φ = 319647744.

The previous prime is 821412083. The next prime is 821412167. The reversal of 821412160 is 61214128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821412167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2624164 + ... + 2624476.

It is an arithmetic number, because the mean of its divisors is an integer number (17945100).

Almost surely, 2^821412160 is an apocalyptic number.

821412160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004925600).

821412160 is an abundant number, since it is smaller than the sum of its proper divisors (1188439040).

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

821412160 is a wasteful number, since it uses less digits than its factorization.

821412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 821412160 is about 28660.2889029402. The cubic root of 821412160 is about 936.5271581814.

Adding to 821412160 its reverse (61214128), we get a palindrome (882626288).

The spelling of 821412160 in words is "eight hundred twenty-one million, four hundred twelve thousand, one hundred sixty".