22906080 has 72 divisors (see below), whose sum is σ = 78171912. Its totient is φ = 6107904.

The previous prime is 22906073. The next prime is 22906087. The reversal of 22906080 is 8060922.

It is an interprime number because it is at equal distance from previous prime (22906073) and next prime (22906087).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22906087) 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 11 ways as a sum of consecutive naturals, for example, 6514 + ... + 9393.

It is an arithmetic number, because the mean of its divisors is an integer number (1085721).

Almost surely, 2^22906080 is an apocalyptic number.

22906080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22906080 is an abundant number, since it is smaller than the sum of its proper divisors (55265832).

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

22906080 is a wasteful number, since it uses less digits than its factorization.

22906080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928 (or 15917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22906080 is about 4786.0296697785. The cubic root of 22906080 is about 283.9990742547. Note that the first 3 decimals are identical.

The spelling of 22906080 in words is "twenty-two million, nine hundred six thousand, eighty".