22085760 has 64 divisors (see below), whose sum is σ = 70404480. Its totient is φ = 5889024.

The previous prime is 22085759. The next prime is 22085761. The reversal of 22085760 is 6758022.

It is an interprime number because it is at equal distance from previous prime (22085759) and next prime (22085761).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22085761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3832 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (1100070).

Almost surely, 2^22085760 is an apocalyptic number.

22085760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22085760 is an abundant number, since it is smaller than the sum of its proper divisors (48318720).

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

22085760 is a wasteful number, since it uses less digits than its factorization.

22085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 22085760 is about 4699.5489145236. The cubic root of 22085760 is about 280.5675562767.

The spelling of 22085760 in words is "twenty-two million, eighty-five thousand, seven hundred sixty".