13689480 has 128 divisors (see below), whose sum is σ = 48153600. Its totient is φ = 3048192.

The previous prime is 13689461. The next prime is 13689499. The reversal of 13689480 is 8498631.

13689480 = T₅₆ + T₅₇ + ... + T₄₃₄.

It is an interprime number because it is at equal distance from previous prime (13689461) and next prime (13689499).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35931 + ... + 36309.

It is an arithmetic number, because the mean of its divisors is an integer number (376200).

Almost surely, 2^13689480 is an apocalyptic number.

13689480 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 13689480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24076800).

13689480 is an abundant number, since it is smaller than the sum of its proper divisors (34464120).

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

13689480 is a wasteful number, since it uses less digits than its factorization.

13689480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 13689480 is about 3699.9297290624. The cubic root of 13689480 is about 239.2189889587.

The spelling of 13689480 in words is "thirteen million, six hundred eighty-nine thousand, four hundred eighty".