13748480 has 72 divisors (see below), whose sum is σ = 34437312. Its totient is φ = 5249024.

The previous prime is 13748477. The next prime is 13748509. The reversal of 13748480 is 8484731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13748480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29207 + ... + 29673.

It is an arithmetic number, because the mean of its divisors is an integer number (478296).

Almost surely, 2^13748480 is an apocalyptic number.

13748480 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 13748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218656).

13748480 is an abundant number, since it is smaller than the sum of its proper divisors (20688832).

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

13748480 is an equidigital number, since it uses as much as digits as its factorization.

13748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 13748480 is about 3707.8942811251. The cubic root of 13748480 is about 239.5621646997.

The spelling of 13748480 in words is "thirteen million, seven hundred forty-eight thousand, four hundred eighty".