13280064 has 112 divisors (see below), whose sum is σ = 41306496. Its totient is φ = 3686400.

The previous prime is 13280041. The next prime is 13280089. The reversal of 13280064 is 46008231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 54984 + ... + 55224.

It is an arithmetic number, because the mean of its divisors is an integer number (368808).

Almost surely, 2^13280064 is an apocalyptic number.

13280064 is a gapful number since it is divisible by the number (14) 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 13280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653248).

13280064 is an abundant number, since it is smaller than the sum of its proper divisors (28026432).

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

13280064 is a wasteful number, since it uses less digits than its factorization.

13280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13280064 is about 3644.1822127879. The cubic root of 13280064 is about 236.8100099250.

Adding to 13280064 its reverse (46008231), we get a palindrome (59288295).

The spelling of 13280064 in words is "thirteen million, two hundred eighty thousand, sixty-four".