13168000 has 64 divisors (see below), whose sum is σ = 32778720. Its totient is φ = 5260800.

The previous prime is 13167991. The next prime is 13168021. The reversal of 13168000 is 86131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15589 + ... + 16411.

Almost surely, 2^13168000 is an apocalyptic number.

13168000 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 13168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389360).

13168000 is an abundant number, since it is smaller than the sum of its proper divisors (19610720).

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

13168000 is an frugal number, since it uses more digits than its factorization.

13168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13168000 is about 3628.7738976134. The cubic root of 13168000 is about 236.1420192781.

It can be divided in two parts, 1316 and 8000, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 13168000 in words is "thirteen million, one hundred sixty-eight thousand".