22946880 has 224 divisors, whose sum is σ = 82954368. Its totient is φ = 5324800.

The previous prime is 22946879. The next prime is 22946887. The reversal of 22946880 is 8864922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22946887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432934 + ... + 432986.

It is an arithmetic number, because the mean of its divisors is an integer number (370332).

Almost surely, 2^22946880 is an apocalyptic number.

22946880 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 22946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477184).

22946880 is an abundant number, since it is smaller than the sum of its proper divisors (60007488).

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

22946880 is a wasteful number, since it uses less digits than its factorization.

22946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 22946880 is about 4790.2901791019. The cubic root of 22946880 is about 284.1675926772.

The spelling of 22946880 in words is "twenty-two million, nine hundred forty-six thousand, eight hundred eighty".