13746064 has 40 divisors (see below), whose sum is σ = 28545048. Its totient is φ = 6389760.

The previous prime is 13746059. The next prime is 13746067. The reversal of 13746064 is 46064731.

It can be written as a sum of positive squares in 4 ways, for example, as 2131600 + 11614464 = 1460^2 + 3408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26124 + ... + 26644.

Almost surely, 2^13746064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13746064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272524).

13746064 is an abundant number, since it is smaller than the sum of its proper divisors (14798984).

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

13746064 is a wasteful number, since it uses less digits than its factorization.

13746064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 13746064 is about 3707.5684754297. The cubic root of 13746064 is about 239.5481312430.

The spelling of 13746064 in words is "thirteen million, seven hundred forty-six thousand, sixty-four".