22585680 has 240 divisors, whose sum is σ = 86661120. Its totient is φ = 5225472.

The previous prime is 22585679. The next prime is 22585691. The reversal of 22585680 is 8658522.

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

It is a super-2 number, since 2×22585680² = 1020225882124800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177777 + ... + 177903.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 2^22585680 is an apocalyptic number.

22585680 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 22585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330560).

22585680 is an abundant number, since it is smaller than the sum of its proper divisors (64075440).

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

22585680 is a wasteful number, since it uses less digits than its factorization.

22585680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 22585680 is about 4752.4393736270. The cubic root of 22585680 is about 282.6687012828.

It can be divided in two parts, 225 and 85680, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 22585680 in words is "twenty-two million, five hundred eighty-five thousand, six hundred eighty".