13541640 has 160 divisors (see below), whose sum is σ = 48401280. Its totient is φ = 3029376.

The previous prime is 13541611. The next prime is 13541651. The reversal of 13541640 is 4614531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13541640.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288097 + ... + 288143.

It is an arithmetic number, because the mean of its divisors is an integer number (302508).

Almost surely, 2^13541640 is an apocalyptic number.

13541640 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 13541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24200640).

13541640 is an abundant number, since it is smaller than the sum of its proper divisors (34859640).

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

13541640 is an equidigital number, since it uses as much as digits as its factorization.

13541640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

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

The square root of 13541640 is about 3679.8967376816. The cubic root of 13541640 is about 238.3547190399.

The spelling of 13541640 in words is "thirteen million, five hundred forty-one thousand, six hundred forty".