13625766 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 3386880.

The previous prime is 13625743. The next prime is 13625779. The reversal of 13625766 is 66752631.

It is a super-2 number, since 2×13625766² = 371322998173512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13625766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120526 + ... + 120638.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^13625766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13625766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

13625766 is an abundant number, since it is smaller than the sum of its proper divisors (25772634).

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

13625766 is a wasteful number, since it uses less digits than its factorization.

13625766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13625766 is about 3691.3095237327. The cubic root of 13625766 is about 238.8472848967.

The spelling of 13625766 in words is "thirteen million, six hundred twenty-five thousand, seven hundred sixty-six".