82222560 has 192 divisors, whose sum is σ = 329011200. Its totient is φ = 18786816.

The previous prime is 82222513. The next prime is 82222573. The reversal of 82222560 is 6522228.

82222560 is a `hidden beast` number, since 82 + 2 + 22 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 28881 + ... + 31599.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^82222560 is an apocalyptic number.

82222560 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 82222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

82222560 is an abundant number, since it is smaller than the sum of its proper divisors (246788640).

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

82222560 is a wasteful number, since it uses less digits than its factorization.

82222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82222560 is about 9067.6656312416. The cubic root of 82222560 is about 434.8408454629.

Adding to 82222560 its reverse (6522228), we get a palindrome (88744788).

The spelling of 82222560 in words is "eighty-two million, two hundred twenty-two thousand, five hundred sixty".