22580480 has 144 divisors (see below), whose sum is σ = 61810560. Its totient is φ = 7839744.

The previous prime is 22580449. The next prime is 22580527. The reversal of 22580480 is 8408522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382691 + ... + 382749.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 2^22580480 is an apocalyptic number.

22580480 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 22580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905280).

22580480 is an abundant number, since it is smaller than the sum of its proper divisors (39230080).

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

22580480 is a wasteful number, since it uses less digits than its factorization.

22580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 22580480 is about 4751.8922546708. The cubic root of 22580480 is about 282.6470062668.

The spelling of 22580480 in words is "twenty-two million, five hundred eighty thousand, four hundred eighty".