10609280 has 96 divisors (see below), whose sum is σ = 28081620. Its totient is φ = 3829760.

The previous prime is 10609271. The next prime is 10609289. The reversal of 10609280 is 8290601.

It is an interprime number because it is at equal distance from previous prime (10609271) and next prime (10609289).

It can be written as a sum of positive squares in 2 ways, for example, as 10601536 + 7744 = 3256^2 + 88^2 .

It is a super-2 number, since 2×10609280² = 225113644236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10609289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77372 + ... + 77508.

Almost surely, 2^10609280 is an apocalyptic number.

10609280 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 10609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040810).

10609280 is an abundant number, since it is smaller than the sum of its proper divisors (17472340).

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

10609280 is a wasteful number, since it uses less digits than its factorization.

10609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10609280 is about 3257.1889721046. The cubic root of 10609280 is about 219.7330094464.

Adding to 10609280 its reverse (8290601), we get a palindrome (18899881).

The spelling of 10609280 in words is "ten million, six hundred nine thousand, two hundred eighty".