22008480 has 96 divisors (see below), whose sum is σ = 74680704. Its totient is φ = 5415936.

The previous prime is 22008473. The next prime is 22008487. The reversal of 22008480 is 8480022.

It is an interprime number because it is at equal distance from previous prime (22008473) and next prime (22008487).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22008480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22008487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477 + ... + 8003.

It is an arithmetic number, because the mean of its divisors is an integer number (777924).

Almost surely, 2^22008480 is an apocalyptic number.

22008480 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 22008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37340352).

22008480 is an abundant number, since it is smaller than the sum of its proper divisors (52672224).

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

22008480 is a wasteful number, since it uses less digits than its factorization.

22008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 22008480 is about 4691.3196437676. The cubic root of 22008480 is about 280.2399304007.

The spelling of 22008480 in words is "twenty-two million, eight thousand, four hundred eighty".