917280 has 216 divisors, whose sum is σ = 3921372. Its totient is φ = 193536.

The previous prime is 917251. The next prime is 917281. The reversal of 917280 is 82719.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 63504 = 924^2 + 252^2 .

It is not an unprimeable number, because it can be changed into a prime (917281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70554 + ... + 70566.

2⁹¹⁷²⁸⁰ is an apocalyptic number.

917280 is a gapful number since it is divisible by the number (90) 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 917280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960686).

917280 is an abundant number, since it is smaller than the sum of its proper divisors (3004092).

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

917280 is a wasteful number, since it uses less digits than its factorization.

917280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 917280 is about 957.7473570833. The cubic root of 917280 is about 97.1629386726.

Adding to 917280 its reverse (82719), we get a palindrome (999999).

The spelling of 917280 in words is "nine hundred seventeen thousand, two hundred eighty".