13602816 has 130 divisors (see below), whose sum is σ = 41626662. Its totient is φ = 4423680.

The previous prime is 13602811. The next prime is 13602851. The reversal of 13602816 is 61820631.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 5308416 = 2880^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13602816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13602811) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331756 + ... + 331796.

Almost surely, 2^13602816 is an apocalyptic number.

13602816 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 13602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20813331).

13602816 is an abundant number, since it is smaller than the sum of its proper divisors (28023846).

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

13602816 is an frugal number, since it uses more digits than its factorization.

13602816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13602816 is about 3688.1995607613. The cubic root of 13602816 is about 238.7131119969.

The spelling of 13602816 in words is "thirteen million, six hundred two thousand, eight hundred sixteen".