22826960 has 80 divisors (see below), whose sum is σ = 58496256. Its totient is φ = 8231424.

The previous prime is 22826959. The next prime is 22826977. The reversal of 22826960 is 6962822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22826960³ (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22826960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48647 + ... + 49113.

Almost surely, 2^22826960 is an apocalyptic number.

22826960 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 22826960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128).

22826960 is an abundant number, since it is smaller than the sum of its proper divisors (35669296).

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

22826960 is a wasteful number, since it uses less digits than its factorization.

22826960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 22826960 is about 4777.7567958196. The cubic root of 22826960 is about 283.6717095293.

The spelling of 22826960 in words is "twenty-two million, eight hundred twenty-six thousand, nine hundred sixty".