822472560 has 240 divisors, whose sum is σ = 3399824064. Its totient is φ = 173518848.

The previous prime is 822472543. The next prime is 822472561. The reversal of 822472560 is 65274228.

822472560 is a `hidden beast` number, since 8 + 2 + 24 + 72 + 560 = 666.

822472560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×822472560² = 1352922223905907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822472561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59244 + ... + 71796.

Almost surely, 2^822472560 is an apocalyptic number.

822472560 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 822472560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699912032).

822472560 is an abundant number, since it is smaller than the sum of its proper divisors (2577351504).

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

822472560 is a wasteful number, since it uses less digits than its factorization.

822472560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592 (or 12583 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 822472560 is about 28678.7824009319. The cubic root of 822472560 is about 936.9299873615.

The spelling of 822472560 in words is "eight hundred twenty-two million, four hundred seventy-two thousand, five hundred sixty".