13164480 has 168 divisors, whose sum is σ = 51828192. Its totient is φ = 3004416.

The previous prime is 13164451. The next prime is 13164497. The reversal of 13164480 is 8446131.

13164480 is a `hidden beast` number, since 13 + 1 + 644 + 8 + 0 = 666.

13164480 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 (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19834 + ... + 20486.

Almost surely, 2^13164480 is an apocalyptic number.

13164480 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 13164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25914096).

13164480 is an abundant number, since it is smaller than the sum of its proper divisors (38663712).

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

13164480 is a wasteful number, since it uses less digits than its factorization.

13164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13164480 is about 3628.2888528892. The cubic root of 13164480 is about 236.1209759918.

The spelling of 13164480 in words is "thirteen million, one hundred sixty-four thousand, four hundred eighty".