13652016 has 80 divisors (see below), whose sum is σ = 41330688. Its totient is φ = 3801600.

The previous prime is 13651999. The next prime is 13652029. The reversal of 13652016 is 61025631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13281 + ... + 14271.

Almost surely, 2^13652016 is an apocalyptic number.

13652016 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 13652016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665344).

13652016 is an abundant number, since it is smaller than the sum of its proper divisors (27678672).

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

13652016 is a wasteful number, since it uses less digits than its factorization.

13652016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13652016 is about 3694.8634616180. The cubic root of 13652016 is about 239.0005660485. Note that the first 3 decimals are identical.

Adding to 13652016 its reverse (61025631), we get a palindrome (74677647).

The spelling of 13652016 in words is "thirteen million, six hundred fifty-two thousand, sixteen".