13659360 has 192 divisors, whose sum is σ = 50803200. Its totient is φ = 3041280.

The previous prime is 13659353. The next prime is 13659361. The reversal of 13659360 is 6395631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13659361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68541 + ... + 68739.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^13659360 is an apocalyptic number.

13659360 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 13659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

13659360 is an abundant number, since it is smaller than the sum of its proper divisors (37143840).

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

13659360 is a wasteful number, since it uses less digits than its factorization.

13659360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 13659360 is about 3695.8571400962. The cubic root of 13659360 is about 239.0434145556.

The spelling of 13659360 in words is "thirteen million, six hundred fifty-nine thousand, three hundred sixty".