13616640 has 160 divisors (see below), whose sum is σ = 48612960. Its totient is φ = 3612672.

The previous prime is 13616599. The next prime is 13616641. The reversal of 13616640 is 4661631.

13616640 is a `hidden beast` number, since 1 + 3 + 6 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13616641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69022 + ... + 69218.

It is an arithmetic number, because the mean of its divisors is an integer number (303831).

Almost surely, 2^13616640 is an apocalyptic number.

13616640 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 13616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

13616640 is an abundant number, since it is smaller than the sum of its proper divisors (34996320).

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

13616640 is an equidigital number, since it uses as much as digits as its factorization.

13616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13616640 is about 3690.0731700063. The cubic root of 13616640 is about 238.7939494944.

It can be divided in two parts, 1361 and 6640, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 13616640 in words is "thirteen million, six hundred sixteen thousand, six hundred forty".