17420880 has 80 divisors (see below), whose sum is σ = 55889280. Its totient is φ = 4483584.

The previous prime is 17420863. The next prime is 17420911. The reversal of 17420880 is 8802471.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5709 + ... + 8211.

It is an arithmetic number, because the mean of its divisors is an integer number (698616).

Almost surely, 2^17420880 is an apocalyptic number.

17420880 is a gapful number since it is divisible by the number (10) 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 17420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944640).

17420880 is an abundant number, since it is smaller than the sum of its proper divisors (38468400).

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

17420880 is a wasteful number, since it uses less digits than its factorization.

17420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 17420880 is about 4173.8327709672. The cubic root of 17420880 is about 259.2328471557.

The spelling of 17420880 in words is "seventeen million, four hundred twenty thousand, eight hundred eighty".