22716400 has 180 divisors, whose sum is σ = 67923480. Its totient is φ = 7257600.

The previous prime is 22716377. The next prime is 22716401. The reversal of 22716400 is 461722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22716401) 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, 372370 + ... + 372430.

Almost surely, 2^22716400 is an apocalyptic number.

22716400 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 22716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33961740).

22716400 is an abundant number, since it is smaller than the sum of its proper divisors (45207080).

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

22716400 is a wasteful number, since it uses less digits than its factorization.

22716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 22716400 is about 4766.1724685538. The cubic root of 22716400 is about 283.2129900305.

The spelling of 22716400 in words is "twenty-two million, seven hundred sixteen thousand, four hundred".