13611480 has 64 divisors (see below), whose sum is σ = 42163200. Its totient is φ = 3511680.

The previous prime is 13611473. The next prime is 13611487. The reversal of 13611480 is 8411631.

It is an interprime number because it is at equal distance from previous prime (13611473) and next prime (13611487).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13611480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13611487) 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, 1891 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (658800).

Almost surely, 2^13611480 is an apocalyptic number.

13611480 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 13611480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081600).

13611480 is an abundant number, since it is smaller than the sum of its proper divisors (28551720).

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

13611480 is a wasteful number, since it uses less digits than its factorization.

13611480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13611480 is about 3689.3739306283. The cubic root of 13611480 is about 238.7637821782.

The spelling of 13611480 in words is "thirteen million, six hundred eleven thousand, four hundred eighty".