13952064 has 84 divisors (see below), whose sum is σ = 42970704. Its totient is φ = 3983616.

The previous prime is 13952033. The next prime is 13952083. The reversal of 13952064 is 46025931.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8667 + ... + 10149.

It is an arithmetic number, because the mean of its divisors is an integer number (511556).

Almost surely, 2^13952064 is an apocalyptic number.

13952064 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 13952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21485352).

13952064 is an abundant number, since it is smaller than the sum of its proper divisors (29018640).

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

13952064 is a wasteful number, since it uses less digits than its factorization.

13952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13952064 is about 3735.2461766261. The cubic root of 13952064 is about 240.7388342933.

Adding to 13952064 its reverse (46025931), we get a palindrome (59977995).

The spelling of 13952064 in words is "thirteen million, nine hundred fifty-two thousand, sixty-four".