13365480 has 64 divisors (see below), whose sum is σ = 40458240. Its totient is φ = 3532032.

The previous prime is 13365479. The next prime is 13365481. The reversal of 13365480 is 8456331.

It is an interprime number because it is at equal distance from previous prime (13365479) and next prime (13365481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13365481) 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 15 ways as a sum of consecutive naturals, for example, 14802 + ... + 15678.

It is an arithmetic number, because the mean of its divisors is an integer number (632160).

Almost surely, 2^13365480 is an apocalyptic number.

13365480 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 13365480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229120).

13365480 is an abundant number, since it is smaller than the sum of its proper divisors (27092760).

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

13365480 is a wasteful number, since it uses less digits than its factorization.

13365480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13365480 is about 3655.8829302919. The cubic root of 13365480 is about 237.3166377881.

The spelling of 13365480 in words is "thirteen million, three hundred sixty-five thousand, four hundred eighty".