13765480 has 64 divisors (see below), whose sum is σ = 32503680. Its totient is φ = 5241600.

The previous prime is 13765471. The next prime is 13765483. The reversal of 13765480 is 8456731.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13765483) 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, 105015 + ... + 105145.

It is an arithmetic number, because the mean of its divisors is an integer number (507870).

Almost surely, 2^13765480 is an apocalyptic number.

13765480 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 13765480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251840).

13765480 is an abundant number, since it is smaller than the sum of its proper divisors (18738200).

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

13765480 is a wasteful number, since it uses less digits than its factorization.

13765480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 13765480 is about 3710.1859791660. The cubic root of 13765480 is about 239.6608635954.

The spelling of 13765480 in words is "thirteen million, seven hundred sixty-five thousand, four hundred eighty".