22268640 has 96 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 5586944.

The previous prime is 22268579. The next prime is 22268671. The reversal of 22268640 is 4686222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22268598 and 22268607.

It is a congruent number.

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, 6796 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^22268640 is an apocalyptic number.

22268640 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 22268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

22268640 is an abundant number, since it is smaller than the sum of its proper divisors (52031040).

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

22268640 is a wasteful number, since it uses less digits than its factorization.

22268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 22268640 is about 4718.9659884343. The cubic root of 22268640 is about 281.3398369802.

The spelling of 22268640 in words is "twenty-two million, two hundred sixty-eight thousand, six hundred forty".