13664000 has 144 divisors (see below), whose sum is σ = 39539136. Its totient is φ = 4608000.

The previous prime is 13663999. The next prime is 13664069. The reversal of 13664000 is 46631.

13664000 = T₆₉ + T₇₀ + ... + T₄₃₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 5.

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, 223970 + ... + 224030.

Almost surely, 2^13664000 is an apocalyptic number.

13664000 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 13664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19769568).

13664000 is an abundant number, since it is smaller than the sum of its proper divisors (25875136).

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

13664000 is an frugal number, since it uses more digits than its factorization.

13664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13664000 is about 3696.4848166873. The cubic root of 13664000 is about 239.0704786806.

The spelling of 13664000 in words is "thirteen million, six hundred sixty-four thousand".