22961600 has 84 divisors (see below), whose sum is σ = 57448704. Its totient is φ = 9031680.

The previous prime is 22961597. The next prime is 22961621. The reversal of 22961600 is 616922.

It is a self number, because there is not a number n which added to its sum of digits gives 22961600.

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 11 ways as a sum of consecutive naturals, for example, 180737 + ... + 180863.

Almost surely, 2^22961600 is an apocalyptic number.

22961600 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 22961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28724352).

22961600 is an abundant number, since it is smaller than the sum of its proper divisors (34487104).

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

22961600 is a wasteful number, since it uses less digits than its factorization.

22961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 22961600 is about 4791.8263741500. The cubic root of 22961600 is about 284.2283424444.

The spelling of 22961600 in words is "twenty-two million, nine hundred sixty-one thousand, six hundred".