22661600 has 72 divisors (see below), whose sum is σ = 59605560. Its totient is φ = 8363520.

The previous prime is 22661599. The next prime is 22661603. The reversal of 22661600 is 616622.

It is a super-2 number, since 2×22661600² = 1027096229120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22661603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9311 + ... + 11489.

It is an arithmetic number, because the mean of its divisors is an integer number (827855).

Almost surely, 2^22661600 is an apocalyptic number.

22661600 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 22661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29802780).

22661600 is an abundant number, since it is smaller than the sum of its proper divisors (36943960).

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

22661600 is a wasteful number, since it uses less digits than its factorization.

22661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 22661600 is about 4760.4201495246. The cubic root of 22661600 is about 282.9850699878.

The spelling of 22661600 in words is "twenty-two million, six hundred sixty-one thousand, six hundred".