17142880 has 48 divisors (see below), whose sum is σ = 40748400. Its totient is φ = 6815232.

The previous prime is 17142871. The next prime is 17142893. The reversal of 17142880 is 8824171.

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, 48946 + ... + 49294.

It is an arithmetic number, because the mean of its divisors is an integer number (848925).

Almost surely, 2^17142880 is an apocalyptic number.

17142880 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 17142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20374200).

17142880 is an abundant number, since it is smaller than the sum of its proper divisors (23605520).

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

17142880 is a wasteful number, since it uses less digits than its factorization.

17142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 17142880 is about 4140.3961163154. The cubic root of 17142880 is about 257.8465124762.

The spelling of 17142880 in words is "seventeen million, one hundred forty-two thousand, eight hundred eighty".