13695648 has 48 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 4534016.

The previous prime is 13695641. The next prime is 13695653. The reversal of 13695648 is 84659631.

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 (13695641) 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, 16786 + ... + 17582.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^13695648 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 13695648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

13695648 is an abundant number, since it is smaller than the sum of its proper divisors (22501632).

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

13695648 is a wasteful number, since it uses less digits than its factorization.

13695648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 13695648 is about 3700.7631645378. The cubic root of 13695648 is about 239.2549114621.

The spelling of 13695648 in words is "thirteen million, six hundred ninety-five thousand, six hundred forty-eight".