17220960 has 72 divisors (see below), whose sum is σ = 58771440. Its totient is φ = 4591872.

The previous prime is 17220953. The next prime is 17220967. The reversal of 17220960 is 6902271.

It is an interprime number because it is at equal distance from previous prime (17220953) and next prime (17220967).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×17220960² = 593122926643200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17220967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4540 + ... + 7419.

It is an arithmetic number, because the mean of its divisors is an integer number (816270).

Almost surely, 2^17220960 is an apocalyptic number.

17220960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17220960 is an abundant number, since it is smaller than the sum of its proper divisors (41550480).

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

17220960 is a wasteful number, since it uses less digits than its factorization.

17220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 17220960 is about 4149.8144536834. The cubic root of 17220960 is about 258.2373874245.

The spelling of 17220960 in words is "seventeen million, two hundred twenty thousand, nine hundred sixty".