13695264 has 144 divisors (see below), whose sum is σ = 44241120. Its totient is φ = 4118400.

The previous prime is 13695263. The next prime is 13695277. The reversal of 13695264 is 46259631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13695263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104479 + ... + 104609.

It is an arithmetic number, because the mean of its divisors is an integer number (307230).

Almost surely, 2^13695264 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 13695264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120560).

13695264 is an abundant number, since it is smaller than the sum of its proper divisors (30545856).

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

13695264 is a wasteful number, since it uses less digits than its factorization.

13695264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13695264 is about 3700.7112829833. The cubic root of 13695264 is about 239.2526753565.

The spelling of 13695264 in words is "thirteen million, six hundred ninety-five thousand, two hundred sixty-four".