22633640 has 64 divisors (see below), whose sum is σ = 53721360. Its totient is φ = 8570880.

The previous prime is 22633631. The next prime is 22633669. The reversal of 22633640 is 4633622.

It can be written as a sum of positive squares in 8 ways, for example, as 8988004 + 13645636 = 2998^2 + 3694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60494 + ... + 60866.

Almost surely, 2^22633640 is an apocalyptic number.

22633640 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 22633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26860680).

22633640 is an abundant number, since it is smaller than the sum of its proper divisors (31087720).

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

22633640 is a wasteful number, since it uses less digits than its factorization.

22633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 22633640 is about 4757.4825275559. The cubic root of 22633640 is about 282.8686392731.

The spelling of 22633640 in words is "twenty-two million, six hundred thirty-three thousand, six hundred forty".