13587140 has 96 divisors (see below), whose sum is σ = 34831104. Its totient is φ = 4354560.

The previous prime is 13587121. The next prime is 13587143. The reversal of 13587140 is 4178531.

13587140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13587140² = 369220746759200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13587143) 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, 222710 + ... + 222770.

It is an arithmetic number, because the mean of its divisors is an integer number (362824).

Almost surely, 2^13587140 is an apocalyptic number.

13587140 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 13587140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415552).

13587140 is an abundant number, since it is smaller than the sum of its proper divisors (21243964).

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

13587140 is a wasteful number, since it uses less digits than its factorization.

13587140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 13587140 is about 3686.0737919906. The cubic root of 13587140 is about 238.6213784145.

The spelling of 13587140 in words is "thirteen million, five hundred eighty-seven thousand, one hundred forty".