13602480 has 120 divisors (see below), whose sum is σ = 44787312. Its totient is φ = 3414528.

The previous prime is 13602473. The next prime is 13602487. The reversal of 13602480 is 8420631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13602473) and next prime (13602487).

It is a tau number, because it is divible by the number of its divisors (120).

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 13602480.

It is not an unprimeable number, because it can be changed into a prime (13602487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86562 + ... + 86718.

Almost surely, 2^13602480 is an apocalyptic number.

13602480 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 13602480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22393656).

13602480 is an abundant number, since it is smaller than the sum of its proper divisors (31184832).

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

13602480 is a wasteful number, since it uses less digits than its factorization.

13602480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13602480 is about 3688.1540097995. The cubic root of 13602480 is about 238.7111465150.

The spelling of 13602480 in words is "thirteen million, six hundred two thousand, four hundred eighty".