13660400 has 120 divisors (see below), whose sum is σ = 36810144. Its totient is φ = 4838400.

The previous prime is 13660399. The next prime is 13660403. The reversal of 13660400 is 406631.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13660403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192365 + ... + 192435.

Almost surely, 2^13660400 is an apocalyptic number.

13660400 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 13660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405072).

13660400 is an abundant number, since it is smaller than the sum of its proper divisors (23149744).

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

13660400 is a wasteful number, since it uses less digits than its factorization.

13660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13660400 is about 3695.9978354972. The cubic root of 13660400 is about 239.0494811855.

The spelling of 13660400 in words is "thirteen million, six hundred sixty thousand, four hundred".