22661440 has 56 divisors (see below), whose sum is σ = 56327040. Its totient is φ = 8667648.

The previous prime is 22661437. The next prime is 22661449. The reversal of 22661440 is 4416622.

22661440 = T₁₇₆ + T₁₇₇ + ... + T₅₂₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22661449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5821 + ... + 8899.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^22661440 is an apocalyptic number.

22661440 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 22661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28163520).

22661440 is an abundant number, since it is smaller than the sum of its proper divisors (33665600).

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

22661440 is a wasteful number, since it uses less digits than its factorization.

22661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 22661440 is about 4760.4033442556. The cubic root of 22661440 is about 282.9844039901.

The spelling of 22661440 in words is "twenty-two million, six hundred sixty-one thousand, four hundred forty".