13661600 has 36 divisors (see below), whose sum is σ = 33353334. Its totient is φ = 5464320.

The previous prime is 13661561. The next prime is 13661603. The reversal of 13661600 is 616631.

It can be written as a sum of positive squares in 3 ways, for example, as 9709456 + 3952144 = 3116^2 + 1988^2 .

It is not an unprimeable number, because it can be changed into a prime (13661603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7739 + ... + 9338.

Almost surely, 2^13661600 is an apocalyptic number.

13661600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13661600 is an abundant number, since it is smaller than the sum of its proper divisors (19691734).

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

13661600 is a wasteful number, since it uses less digits than its factorization.

13661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17097 (or 17084 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 13661600 is about 3696.1601696896. The cubic root of 13661600 is about 239.0564807603.

The spelling of 13661600 in words is "thirteen million, six hundred sixty-one thousand, six hundred".