22135680 has 320 divisors, whose sum is σ = 91824480. Its totient is φ = 4976640.

The previous prime is 22135651. The next prime is 22135693. The reversal of 22135680 is 8653122.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 362850 + ... + 362910.

Almost surely, 2^22135680 is an apocalyptic number.

22135680 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 22135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912240).

22135680 is an abundant number, since it is smaller than the sum of its proper divisors (69688800).

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

22135680 is an equidigital number, since it uses as much as digits as its factorization.

22135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22135680 is about 4704.8570647789. The cubic root of 22135680 is about 280.7787842836.

22135680 divided by its sum of digits (27) gives a triangular number (819840 = T₁₂₈₀).

The spelling of 22135680 in words is "twenty-two million, one hundred thirty-five thousand, six hundred eighty".