13619664 has 120 divisors (see below), whose sum is σ = 41164032. Its totient is φ = 4354560.

The previous prime is 13619651. The next prime is 13619681. The reversal of 13619664 is 46691631.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 120472 + ... + 120584.

Almost surely, 2^13619664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13619664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582016).

13619664 is an abundant number, since it is smaller than the sum of its proper divisors (27544368).

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

13619664 is a wasteful number, since it uses less digits than its factorization.

13619664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13619664 is about 3690.4828952320. The cubic root of 13619664 is about 238.8116254031.

It can be divided in two parts, 1361 and 9664, that added together give a square (11025 = 105²).

The spelling of 13619664 in words is "thirteen million, six hundred nineteen thousand, six hundred sixty-four".