13756064 has 72 divisors (see below), whose sum is σ = 32635008. Its totient is φ = 5685120.

The previous prime is 13756051. The next prime is 13756069. The reversal of 13756064 is 46065731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13756064.

It is not an unprimeable number, because it can be changed into a prime (13756069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48467 + ... + 48749.

It is an arithmetic number, because the mean of its divisors is an integer number (453264).

Almost surely, 2^13756064 is an apocalyptic number.

13756064 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 13756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317504).

13756064 is an abundant number, since it is smaller than the sum of its proper divisors (18878944).

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

13756064 is a wasteful number, since it uses less digits than its factorization.

13756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 13756064 is about 3708.9168230091. The cubic root of 13756064 is about 239.6062060650.

The spelling of 13756064 in words is "thirteen million, seven hundred fifty-six thousand, sixty-four".