13495680 has 256 divisors, whose sum is σ = 52876800. Its totient is φ = 3225600.

The previous prime is 13495663. The next prime is 13495709. The reversal of 13495680 is 8659431.

13495680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 190045 + ... + 190115.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^13495680 is an apocalyptic number.

13495680 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 13495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

13495680 is an abundant number, since it is smaller than the sum of its proper divisors (39381120).

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

13495680 is a wasteful number, since it uses less digits than its factorization.

13495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13495680 is about 3673.6466895988. The cubic root of 13495680 is about 238.0847566688.

The spelling of 13495680 in words is "thirteen million, four hundred ninety-five thousand, six hundred eighty".