13286640 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3232768.

The previous prime is 13286627. The next prime is 13286659. The reversal of 13286640 is 4668231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13286598 and 13286607.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 160039 + ... + 160121.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^13286640 is an apocalyptic number.

13286640 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 13286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13286640 is an abundant number, since it is smaller than the sum of its proper divisors (31710480).

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

13286640 is a wasteful number, since it uses less digits than its factorization.

13286640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13286640 is about 3645.0843611637. The cubic root of 13286640 is about 236.8490912039.

The spelling of 13286640 in words is "thirteen million, two hundred eighty-six thousand, six hundred forty".