822906672 has 80 divisors (see below), whose sum is σ = 2435082240. Its totient is φ = 234579456.

The previous prime is 822906659. The next prime is 822906731. The reversal of 822906672 is 276609228.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 158388 + ... + 163500.

It is an arithmetic number, because the mean of its divisors is an integer number (30438528).

Almost surely, 2^822906672 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 822906672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217541120).

822906672 is an abundant number, since it is smaller than the sum of its proper divisors (1612175568).

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

822906672 is a wasteful number, since it uses less digits than its factorization.

822906672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 822906672 is about 28686.3499246593. The cubic root of 822906672 is about 937.0947997544.

The spelling of 822906672 in words is "eight hundred twenty-two million, nine hundred six thousand, six hundred seventy-two".