22638140 has 48 divisors (see below), whose sum is σ = 54903744. Its totient is φ = 7680000.

The previous prime is 22638127. The next prime is 22638149. The reversal of 22638140 is 4183622.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22638149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13340 + ... + 14940.

It is an arithmetic number, because the mean of its divisors is an integer number (1143828).

Almost surely, 2^22638140 is an apocalyptic number.

22638140 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 22638140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27451872).

22638140 is an abundant number, since it is smaller than the sum of its proper divisors (32265604).

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

22638140 is a wasteful number, since it uses less digits than its factorization.

22638140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 22638140 is about 4757.9554432550. The cubic root of 22638140 is about 282.8873845939.

The spelling of 22638140 in words is "twenty-two million, six hundred thirty-eight thousand, one hundred forty".