13629616 has 160 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 4561920.

The previous prime is 13629607. The next prime is 13629619. The reversal of 13629616 is 61692631.

13629616 = T₂₅₃ + T₂₅₄ + ... + T₄₆₀.

It is not an unprimeable number, because it can be changed into a prime (13629619) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368350 + ... + 368386.

Almost surely, 2^13629616 is an apocalyptic number.

13629616 is a gapful number since it is divisible by the number (16) 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 13629616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

13629616 is an abundant number, since it is smaller than the sum of its proper divisors (24367952).

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

13629616 is a wasteful number, since it uses less digits than its factorization.

13629616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 13629616 is about 3691.8309820467. The cubic root of 13629616 is about 238.8697784444.

The spelling of 13629616 in words is "thirteen million, six hundred twenty-nine thousand, six hundred sixteen".