8935280 has 40 divisors (see below), whose sum is σ = 21126624. Its totient is φ = 3513600.

The previous prime is 8935259. The next prime is 8935291. The reversal of 8935280 is 825398.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8935280.

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, 3965 + ... + 5795.

Almost surely, 2^8935280 is an apocalyptic number.

8935280 is a gapful number since it is divisible by the number (80) 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 8935280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10563312).

8935280 is an abundant number, since it is smaller than the sum of its proper divisors (12191344).

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

8935280 is a wasteful number, since it uses less digits than its factorization.

8935280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 8935280 is about 2989.1938712636. The cubic root of 8935280 is about 207.5085785392.

The spelling of 8935280 in words is "eight million, nine hundred thirty-five thousand, two hundred eighty".