13161600 has 144 divisors (see below), whose sum is σ = 47066370. Its totient is φ = 3502080.

The previous prime is 13161593. The next prime is 13161601. The reversal of 13161600 is 616131.

13161600 is a `hidden beast` number, since 1 + 3 + 1 + 61 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11778624 + 1382976 = 3432^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13161601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28572 + ... + 29028.

Almost surely, 2^13161600 is an apocalyptic number.

13161600 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 13161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533185).

13161600 is an abundant number, since it is smaller than the sum of its proper divisors (33904770).

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

13161600 is a wasteful number, since it uses less digits than its factorization.

13161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13161600 is about 3627.8919498794. The cubic root of 13161600 is about 236.1037559672.

Adding to 13161600 its reverse (616131), we get a palindrome (13777731).

It can be divided in two parts, 1316 and 1600, that added together give a square (2916 = 54²).

The spelling of 13161600 in words is "thirteen million, one hundred sixty-one thousand, six hundred".