13466640 has 80 divisors (see below), whose sum is σ = 45550656. Its totient is φ = 3264000.

The previous prime is 13466639. The next prime is 13466647. The reversal of 13466640 is 4666431.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 13466598 and 13466607.

It is not an unprimeable number, because it can be changed into a prime (13466647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90 + ... + 5190.

Almost surely, 2^13466640 is an apocalyptic number.

13466640 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 13466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22775328).

13466640 is an abundant number, since it is smaller than the sum of its proper divisors (32084016).

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

13466640 is a wasteful number, since it uses less digits than its factorization.

13466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 13466640 is about 3669.6920851755. The cubic root of 13466640 is about 237.9138637994.

The spelling of 13466640 in words is "thirteen million, four hundred sixty-six thousand, six hundred forty".