22540680 has 112 divisors (see below), whose sum is σ = 76138380. Its totient is φ = 6003072.

The previous prime is 22540649. The next prime is 22540711. The reversal of 22540680 is 8604522.

It is an interprime number because it is at equal distance from previous prime (22540649) and next prime (22540711).

It can be written as a sum of positive squares in 2 ways, for example, as 20088324 + 2452356 = 4482^2 + 1566^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28774 + ... + 29546.

Almost surely, 2^22540680 is an apocalyptic number.

22540680 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 22540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38069190).

22540680 is an abundant number, since it is smaller than the sum of its proper divisors (53597700).

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

22540680 is an equidigital number, since it uses as much as digits as its factorization.

22540680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22540680 is about 4747.7026023120. The cubic root of 22540680 is about 282.4808455439.

It can be divided in two parts, 22540 and 680, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 22540680 in words is "twenty-two million, five hundred forty thousand, six hundred eighty".