13486080 has 96 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3588096.

The previous prime is 13486079. The next prime is 13486087. The reversal of 13486080 is 8068431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (13486087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30501 + ... + 30939.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 2^13486080 is an apocalyptic number.

13486080 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 13486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

13486080 is an abundant number, since it is smaller than the sum of its proper divisors (29757120).

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

13486080 is an equidigital number, since it uses as much as digits as its factorization.

13486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13486080 is about 3672.3398535539. The cubic root of 13486080 is about 238.0282903075.

It can be divided in two parts, 134860 and 80, that added together give a triangular number (134940 = T₅₁₉).

The spelling of 13486080 in words is "thirteen million, four hundred eighty-six thousand, eighty".