13609960 has 64 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 4306176.

The previous prime is 13609957. The next prime is 13609963. The reversal of 13609960 is 6990631.

It is an interprime number because it is at equal distance from previous prime (13609957) and next prime (13609963).

It is a super-2 number, since 2×13609960² = 370462022403200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13609963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771 + ... + 5509.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 2^13609960 is an apocalyptic number.

13609960 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 13609960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

13609960 is an abundant number, since it is smaller than the sum of its proper divisors (24089240).

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

13609960 is a wasteful number, since it uses less digits than its factorization.

13609960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 13609960 is about 3689.1679278667. The cubic root of 13609960 is about 238.7548942282.

The spelling of 13609960 in words is "thirteen million, six hundred nine thousand, nine hundred sixty".