22720480 has 48 divisors (see below), whose sum is σ = 54011664. Its totient is φ = 9031680.

The previous prime is 22720463. The next prime is 22720499. The reversal of 22720480 is 8402722.

It is a super-2 number, since 2×22720480² = 1032440422860800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33424 + ... + 34096.

It is an arithmetic number, because the mean of its divisors is an integer number (1125243).

Almost surely, 2^22720480 is an apocalyptic number.

22720480 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 22720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005832).

22720480 is an abundant number, since it is smaller than the sum of its proper divisors (31291184).

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

22720480 is a wasteful number, since it uses less digits than its factorization.

22720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 22720480 is about 4766.6004657408. The cubic root of 22720480 is about 283.2299445924.

The spelling of 22720480 in words is "twenty-two million, seven hundred twenty thousand, four hundred eighty".