22920480 has 144 divisors (see below), whose sum is σ = 85385664. Its totient is φ = 5552640.

The previous prime is 22920463. The next prime is 22920481. The reversal of 22920480 is 8402922.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (22920481) 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 23 ways as a sum of consecutive naturals, for example, 15117 + ... + 16563.

It is an arithmetic number, because the mean of its divisors is an integer number (592956).

Almost surely, 2^22920480 is an apocalyptic number.

22920480 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 22920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42692832).

22920480 is an abundant number, since it is smaller than the sum of its proper divisors (62465184).

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

22920480 is a wasteful number, since it uses less digits than its factorization.

22920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22920480 is about 4787.5338118910. The cubic root of 22920480 is about 284.0585741778.

The spelling of 22920480 in words is "twenty-two million, nine hundred twenty thousand, four hundred eighty".