13653380 has 48 divisors (see below), whose sum is σ = 32704560. Its totient is φ = 4743168.

The previous prime is 13653379. The next prime is 13653391. The reversal of 13653380 is 8335631.

It can be written as a sum of positive squares in 8 ways, for example, as 228484 + 13424896 = 478^2 + 3664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2876 + ... + 5964.

It is an arithmetic number, because the mean of its divisors is an integer number (681345).

Almost surely, 2^13653380 is an apocalyptic number.

13653380 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 13653380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16352280).

13653380 is an abundant number, since it is smaller than the sum of its proper divisors (19051180).

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

13653380 is a wasteful number, since it uses less digits than its factorization.

13653380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 13653380 is about 3695.0480375768. The cubic root of 13653380 is about 239.0085254570.

The spelling of 13653380 in words is "thirteen million, six hundred fifty-three thousand, three hundred eighty".