22667920 has 40 divisors (see below), whose sum is σ = 57496320. Its totient is φ = 8242560.

The previous prime is 22667839. The next prime is 22667927. The reversal of 22667920 is 2976622.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22667927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12000 + ... + 13759.

It is an arithmetic number, because the mean of its divisors is an integer number (1437408).

Almost surely, 2^22667920 is an apocalyptic number.

22667920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22667920 is an abundant number, since it is smaller than the sum of its proper divisors (34828400).

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

22667920 is a wasteful number, since it uses less digits than its factorization.

22667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783 (or 25777 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 22667920 is about 4761.0839102036. The cubic root of 22667920 is about 283.0113743883.

The spelling of 22667920 in words is "twenty-two million, six hundred sixty-seven thousand, nine hundred twenty".