22846720 has 72 divisors (see below), whose sum is σ = 58977576. Its totient is φ = 8429568.

The previous prime is 22846709. The next prime is 22846729. The reversal of 22846720 is 2764822.

It can be written as a sum of positive squares in 4 ways, for example, as 4596736 + 18249984 = 2144^2 + 4272^2 .

It is a super-2 number, since 2×22846720² = 1043945229516800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22846729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15954 + ... + 17326.

It is an arithmetic number, because the mean of its divisors is an integer number (819133).

Almost surely, 2^22846720 is an apocalyptic number.

22846720 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 22846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29488788).

22846720 is an abundant number, since it is smaller than the sum of its proper divisors (36130856).

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

22846720 is a wasteful number, since it uses less digits than its factorization.

22846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 22846720 is about 4779.8242645520. The cubic root of 22846720 is about 283.7535387399.

The spelling of 22846720 in words is "twenty-two million, eight hundred forty-six thousand, seven hundred twenty".