821886912 has 560 divisors, whose sum is σ = 3186501120. Its totient is φ = 203212800.

The previous prime is 821886887. The next prime is 821886931. The reversal of 821886912 is 219688128.

It is a happy number.

It is a super-2 number, since 2×821886912² = 1350996192233791488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11575837 + ... + 11575907.

Almost surely, 2^821886912 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 821886912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593250560).

821886912 is an abundant number, since it is smaller than the sum of its proper divisors (2364614208).

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

821886912 is a wasteful number, since it uses less digits than its factorization.

821886912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 821886912 is about 28668.5701073493. The cubic root of 821886912 is about 936.7075517896.

The spelling of 821886912 in words is "eight hundred twenty-one million, eight hundred eighty-six thousand, nine hundred twelve".