22667840 has 56 divisors (see below), whose sum is σ = 58140600. Its totient is φ = 8368128.

The previous prime is 22667839. The next prime is 22667927. The reversal of 22667840 is 4876622.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 22429696 = 488^2 + 4736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22667840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1436 + ... + 6884.

It is an arithmetic number, because the mean of its divisors is an integer number (1038225).

Almost surely, 2^22667840 is an apocalyptic number.

22667840 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 22667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29070300).

22667840 is an abundant number, since it is smaller than the sum of its proper divisors (35472760).

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

22667840 is a wasteful number, since it uses less digits than its factorization.

22667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 22667840 is about 4761.0755087480. The cubic root of 22667840 is about 283.0110414518.

The spelling of 22667840 in words is "twenty-two million, six hundred sixty-seven thousand, eight hundred forty".