13670640 has 80 divisors (see below), whose sum is σ = 47095200. Its totient is φ = 3644928.

The previous prime is 13670639. The next prime is 13670651. The reversal of 13670640 is 4607631.

13670640 is a `hidden beast` number, since 13 + 6 + 7 + 0 + 640 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (588690).

Almost surely, 2^13670640 is an apocalyptic number.

13670640 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 13670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23547600).

13670640 is an abundant number, since it is smaller than the sum of its proper divisors (33424560).

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

13670640 is a wasteful number, since it uses less digits than its factorization.

13670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13670640 is about 3697.3828581850. The cubic root of 13670640 is about 239.1091977211.

The spelling of 13670640 in words is "thirteen million, six hundred seventy thousand, six hundred forty".