22890640 has 40 divisors (see below), whose sum is σ = 53766648. Its totient is φ = 9062400.

The previous prime is 22890601. The next prime is 22890641. The reversal of 22890640 is 4609822.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 16418704 = 2544^2 + 4052^2 .

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

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22890641) 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, 6664 + ... + 9496.

Almost surely, 2^22890640 is an apocalyptic number.

22890640 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 22890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883324).

22890640 is an abundant number, since it is smaller than the sum of its proper divisors (30876008).

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

22890640 is a wasteful number, since it uses less digits than its factorization.

22890640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 22890640 is about 4784.4163698407. The cubic root of 22890640 is about 283.9352494055.

The spelling of 22890640 in words is "twenty-two million, eight hundred ninety thousand, six hundred forty".