13690880 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4669440.

The previous prime is 13690877. The next prime is 13690883. The reversal of 13690880 is 8809631.

It is an interprime number because it is at equal distance from previous prime (13690877) and next prime (13690883).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13690880.

It is not an unprimeable number, because it can be changed into a prime (13690883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71585 + ... + 71775.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^13690880 is an apocalyptic number.

13690880 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 13690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13690880 is an abundant number, since it is smaller than the sum of its proper divisors (24048640).

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

13690880 is an equidigital number, since it uses as much as digits as its factorization.

13690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 13690880 is about 3700.1189170079. The cubic root of 13690880 is about 239.2271435214.

The spelling of 13690880 in words is "thirteen million, six hundred ninety thousand, eight hundred eighty".