22546720 has 96 divisors (see below), whose sum is σ = 62487936. Its totient is φ = 7526400.

The previous prime is 22546697. The next prime is 22546729. The reversal of 22546720 is 2764522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22546729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45675 + ... + 46165.

It is an arithmetic number, because the mean of its divisors is an integer number (650916).

Almost surely, 2^22546720 is an apocalyptic number.

22546720 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 22546720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31243968).

22546720 is an abundant number, since it is smaller than the sum of its proper divisors (39941216).

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

22546720 is a wasteful number, since it uses less digits than its factorization.

22546720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 22546720 is about 4748.3386568357. The cubic root of 22546720 is about 282.5060744772.

The spelling of 22546720 in words is "twenty-two million, five hundred forty-six thousand, seven hundred twenty".