13634960 has 40 divisors (see below), whose sum is σ = 32482296. Its totient is φ = 5319680.

The previous prime is 13634941. The next prime is 13634977. The reversal of 13634960 is 6943631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 13630864 = 64^2 + 3692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202 + ... + 5358.

Almost surely, 2^13634960 is an apocalyptic number.

13634960 is a gapful number since it is divisible by the number (10) 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 13634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241148).

13634960 is an abundant number, since it is smaller than the sum of its proper divisors (18847336).

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

13634960 is a wasteful number, since it uses less digits than its factorization.

13634960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 13634960 is about 3692.5546712270. The cubic root of 13634960 is about 238.9009936378.

The spelling of 13634960 in words is "thirteen million, six hundred thirty-four thousand, nine hundred sixty".