22458640 has 40 divisors (see below), whose sum is σ = 52639488. Its totient is φ = 8910720.

The previous prime is 22458617. The next prime is 22458641. The reversal of 22458640 is 4685422.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22458641) 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, 9409 + ... + 11551.

It is a vampire number, since it can be written as 4286 ⋅ 5240 (with its own digits).

Almost surely, 2^22458640 is an apocalyptic number.

22458640 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 22458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26319744).

22458640 is an abundant number, since it is smaller than the sum of its proper divisors (30180848).

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

22458640 is a wasteful number, since it uses less digits than its factorization.

22458640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 22458640 is about 4739.0547580715. The cubic root of 22458640 is about 282.1377192280.

The spelling of 22458640 in words is "twenty-two million, four hundred fifty-eight thousand, six hundred forty".