13641540 has 72 divisors (see below), whose sum is σ = 42006720. Its totient is φ = 3305280.

The previous prime is 13641539. The next prime is 13641557. The reversal of 13641540 is 4514631.

It is a super-2 number, since 2×13641540² = 372183227143200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13641540.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6321 + ... + 8199.

Almost surely, 2^13641540 is an apocalyptic number.

13641540 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 13641540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003360).

13641540 is an abundant number, since it is smaller than the sum of its proper divisors (28365180).

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

13641540 is a wasteful number, since it uses less digits than its factorization.

13641540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13641540 is about 3693.4455458284. The cubic root of 13641540 is about 238.9394173109.

The spelling of 13641540 in words is "thirteen million, six hundred forty-one thousand, five hundred forty".