22708800 has 252 divisors, whose sum is σ = 85984080. Its totient is φ = 5667840.

The previous prime is 22708799. The next prime is 22708801. The reversal of 22708800 is 880722.

It is an interprime number because it is at equal distance from previous prime (22708799) and next prime (22708801).

It is not an unprimeable number, because it can be changed into a prime (22708801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273559 + ... + 273641.

Almost surely, 2^22708800 is an apocalyptic number.

22708800 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 22708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42992040).

22708800 is an abundant number, since it is smaller than the sum of its proper divisors (63275280).

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

22708800 is a wasteful number, since it uses less digits than its factorization.

22708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 22708800 is about 4765.3751163995. The cubic root of 22708800 is about 283.1814025899.

The spelling of 22708800 in words is "twenty-two million, seven hundred eight thousand, eight hundred".