13953696 has 48 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 4620800.

The previous prime is 13953683. The next prime is 13953697. The reversal of 13953696 is 69635931.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13953697) 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 7 ways as a sum of consecutive naturals, for example, 17956 + ... + 18716.

It is an arithmetic number, because the mean of its divisors is an integer number (768096).

Almost surely, 2^13953696 is an apocalyptic number.

13953696 is a gapful number since it is divisible by the number (16) 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 13953696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

13953696 is an abundant number, since it is smaller than the sum of its proper divisors (22914912).

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

13953696 is a wasteful number, since it uses less digits than its factorization.

13953696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its digits is 131220, while the sum is 42.

The square root of 13953696 is about 3735.4646297348. The cubic root of 13953696 is about 240.7482204902.

It can be divided in two parts, 139 and 53696, that added together give a palindrome (53835).

The spelling of 13953696 in words is "thirteen million, nine hundred fifty-three thousand, six hundred ninety-six".