13665120 has 192 divisors, whose sum is σ = 50803200. Its totient is φ = 3085824.

The previous prime is 13665107. The next prime is 13665121. The reversal of 13665120 is 2156631.

It is a super-2 number, since 2×13665120² = 373471009228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13665121) 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, 164599 + ... + 164681.

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

Almost surely, 2^13665120 is an apocalyptic number.

13665120 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 13665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

13665120 is an abundant number, since it is smaller than the sum of its proper divisors (37138080).

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

13665120 is an equidigital number, since it uses as much as digits as its factorization.

13665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13665120 is about 3696.6363088624. The cubic root of 13665120 is about 239.0770104824.

It can be divided in two parts, 136 and 65120, that added together give a palindrome (65256).

The spelling of 13665120 in words is "thirteen million, six hundred sixty-five thousand, one hundred twenty".