13366080 has 448 divisors, whose sum is σ = 61447680. Its totient is φ = 2654208.

The previous prime is 13366079. The next prime is 13366121. The reversal of 13366080 is 8066331.

13366080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 786232 + ... + 786248.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 2^13366080 is an apocalyptic number.

13366080 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 13366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

13366080 is an abundant number, since it is smaller than the sum of its proper divisors (48081600).

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

13366080 is a wasteful number, since it uses less digits than its factorization.

13366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

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

The square root of 13366080 is about 3655.9649888914. The cubic root of 13366080 is about 237.3201889226.

The spelling of 13366080 in words is "thirteen million, three hundred sixty-six thousand, eighty".