13665380 has 24 divisors (see below), whose sum is σ = 29688120. Its totient is φ = 5277440.

The previous prime is 13665371. The next prime is 13665383. The reversal of 13665380 is 8356631.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 13235044 = 656^2 + 3638^2 .

It is a super-2 number, since 2×13665380² = 373485221088800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13665383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11201 + ... + 12360.

It is an arithmetic number, because the mean of its divisors is an integer number (1237005).

Almost surely, 2^13665380 is an apocalyptic number.

13665380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13665380 is an abundant number, since it is smaller than the sum of its proper divisors (16022740).

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

13665380 is a wasteful number, since it uses less digits than its factorization.

13665380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23599 (or 23597 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 13665380 is about 3696.6714758009. The cubic root of 13665380 is about 239.0785267425.

The spelling of 13665380 in words is "thirteen million, six hundred sixty-five thousand, three hundred eighty".