22506720 has 48 divisors (see below), whose sum is σ = 70897680. Its totient is φ = 6001664.

The previous prime is 22506709. The next prime is 22506727. The reversal of 22506720 is 2760522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22506727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22965 + ... + 23924.

It is an arithmetic number, because the mean of its divisors is an integer number (1477035).

Almost surely, 2^22506720 is an apocalyptic number.

22506720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22506720 is an abundant number, since it is smaller than the sum of its proper divisors (48390960).

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

22506720 is a wasteful number, since it uses less digits than its factorization.

22506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46907 (or 46899 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 22506720 is about 4744.1247875662. The cubic root of 22506720 is about 282.3389114761.

The spelling of 22506720 in words is "twenty-two million, five hundred six thousand, seven hundred twenty".