22360968 has 128 divisors (see below), whose sum is σ = 74188800. Its totient is φ = 6101568.

The previous prime is 22360957. The next prime is 22360979. The reversal of 22360968 is 86906322.

It is an interprime number because it is at equal distance from previous prime (22360957) and next prime (22360979).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34455 + ... + 35097.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 2^22360968 is an apocalyptic number.

22360968 is a gapful number since it is divisible by the number (28) 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 22360968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094400).

22360968 is an abundant number, since it is smaller than the sum of its proper divisors (51827832).

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

22360968 is a wasteful number, since it uses less digits than its factorization.

22360968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 22360968 is about 4728.7385210011. The cubic root of 22360968 is about 281.7281218487.

The spelling of 22360968 in words is "twenty-two million, three hundred sixty thousand, nine hundred sixty-eight".