13629312 has 48 divisors (see below), whose sum is σ = 39223080. Its totient is φ = 4542720.

The previous prime is 13629299. The next prime is 13629337. The reversal of 13629312 is 21392631.

13629312 is a `hidden beast` number, since 1 + 3 + 629 + 31 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4764 + ... + 7067.

Almost surely, 2^13629312 is an apocalyptic number.

13629312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13629312 is an abundant number, since it is smaller than the sum of its proper divisors (25593768).

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

13629312 is a wasteful number, since it uses less digits than its factorization.

13629312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11851 (or 11836 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13629312 is about 3691.7898098348. The cubic root of 13629312 is about 238.8680024846.

The spelling of 13629312 in words is "thirteen million, six hundred twenty-nine thousand, three hundred twelve".