13499680 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 5352192.

The previous prime is 13499677. The next prime is 13499687. The reversal of 13499680 is 8699431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13499687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21937 + ... + 22543.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^13499680 is an apocalyptic number.

13499680 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 13499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

13499680 is an abundant number, since it is smaller than the sum of its proper divisors (18675680).

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

13499680 is a wasteful number, since it uses less digits than its factorization.

13499680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 13499680 is about 3674.1910674324. The cubic root of 13499680 is about 238.1082764162.

The spelling of 13499680 in words is "thirteen million, four hundred ninety-nine thousand, six hundred eighty".