13734480 has 80 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 3615744.

The previous prime is 13734463. The next prime is 13734493. The reversal of 13734480 is 8443731.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21039 + ... + 21681.

It is an arithmetic number, because the mean of its divisors is an integer number (539028).

Almost surely, 2^13734480 is an apocalyptic number.

13734480 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 13734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120).

13734480 is an abundant number, since it is smaller than the sum of its proper divisors (29387760).

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

13734480 is a wasteful number, since it uses less digits than its factorization.

13734480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 13734480 is about 3706.0059363147. The cubic root of 13734480 is about 239.4808221475.

The spelling of 13734480 in words is "thirteen million, seven hundred thirty-four thousand, four hundred eighty".