17142480 has 120 divisors (see below), whose sum is σ = 59627880. Its totient is φ = 4408320.

The previous prime is 17142467. The next prime is 17142481. The reversal of 17142480 is 8424171.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 16353936 = 888^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17142481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20470 + ... + 21290.

It is an arithmetic number, because the mean of its divisors is an integer number (496899).

Almost surely, 2^17142480 is an apocalyptic number.

17142480 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 17142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29813940).

17142480 is an abundant number, since it is smaller than the sum of its proper divisors (42485400).

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

17142480 is a wasteful number, since it uses less digits than its factorization.

17142480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 17142480 is about 4140.3478114767. The cubic root of 17142480 is about 257.8445069904.

The spelling of 17142480 in words is "seventeen million, one hundred forty-two thousand, four hundred eighty".