821882248 has 64 divisors (see below), whose sum is σ = 1718496000. Its totient is φ = 365376000.

The previous prime is 821882209. The next prime is 821882251. The reversal of 821882248 is 842288128.

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

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, 790513 + ... + 791551.

It is an arithmetic number, because the mean of its divisors is an integer number (26851500).

Almost surely, 2^821882248 is an apocalyptic number.

821882248 is a gapful number since it is divisible by the number (88) 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 821882248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859248000).

821882248 is an abundant number, since it is smaller than the sum of its proper divisors (896613752).

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

821882248 is a wasteful number, since it uses less digits than its factorization.

821882248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1242 counting only the distinct ones).

The product of its digits is 131072, while the sum is 43.

The square root of 821882248 is about 28668.4887637978. The cubic root of 821882248 is about 936.7057799269.

The spelling of 821882248 in words is "eight hundred twenty-one million, eight hundred eighty-two thousand, two hundred forty-eight".