22740640 has 108 divisors (see below), whose sum is σ = 60250554. Its totient is φ = 8107008.

The previous prime is 22740637. The next prime is 22740643. The reversal of 22740640 is 4604722.

It is an interprime number because it is at equal distance from previous prime (22740637) and next prime (22740643).

It can be written as a sum of positive squares in 9 ways, for example, as 44944 + 22695696 = 212^2 + 4764^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (22740643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 784146 + ... + 784174.

Almost surely, 2^22740640 is an apocalyptic number.

22740640 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 22740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30125277).

22740640 is an abundant number, since it is smaller than the sum of its proper divisors (37509914).

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

22740640 is a wasteful number, since it uses less digits than its factorization.

22740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 22740640 is about 4768.7147115339. The cubic root of 22740640 is about 283.3136902953.

The spelling of 22740640 in words is "twenty-two million, seven hundred forty thousand, six hundred forty".