22117680 has 240 divisors, whose sum is σ = 85307040. Its totient is φ = 5087232.

The previous prime is 22117679. The next prime is 22117681. The reversal of 22117680 is 8671122.

It is an interprime number because it is at equal distance from previous prime (22117679) and next prime (22117681).

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

It is not an unprimeable number, because it can be changed into a prime (22117681) 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, 159051 + ... + 159189.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^22117680 is an apocalyptic number.

22117680 is a gapful number since it is divisible by the number (20) 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 22117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

22117680 is an abundant number, since it is smaller than the sum of its proper divisors (63189360).

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

22117680 is a wasteful number, since it uses less digits than its factorization.

22117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 22117680 is about 4702.9437589663. The cubic root of 22117680 is about 280.7026569836.

The spelling of 22117680 in words is "twenty-two million, one hundred seventeen thousand, six hundred eighty".