822272640 has 256 divisors, whose sum is σ = 3020440320. Its totient is φ = 186384384.

The previous prime is 822272639. The next prime is 822272653. The reversal of 822272640 is 46272228.

It is a super-2 number, since 2×822272640² = 1352264588985139200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593762 + ... + 2594078.

It is an arithmetic number, because the mean of its divisors is an integer number (11798595).

Almost surely, 2^822272640 is an apocalyptic number.

822272640 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 822272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510220160).

822272640 is an abundant number, since it is smaller than the sum of its proper divisors (2198167680).

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

822272640 is a wasteful number, since it uses less digits than its factorization.

822272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 822272640 is about 28675.2966854748. The cubic root of 822272640 is about 936.8540674136.

It can be divided in two parts, 82 and 2272640, that added together give a palindrome (2272722).

The spelling of 822272640 in words is "eight hundred twenty-two million, two hundred seventy-two thousand, six hundred forty".