13540560 has 160 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 3125760.

The previous prime is 13540543. The next prime is 13540577. The reversal of 13540560 is 6504531.

13540560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13540543) and next prime (13540577).

It is a super-2 number, since 2×13540560² = 366693530227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 13540560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60609 + ... + 60831.

Almost surely, 2^13540560 is an apocalyptic number.

13540560 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 13540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

13540560 is an abundant number, since it is smaller than the sum of its proper divisors (34456368).

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

13540560 is a wasteful number, since it uses less digits than its factorization.

13540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 13540560 is about 3679.7499915076. The cubic root of 13540560 is about 238.3483822904.

It can be divided in two parts, 135 and 40560, that multiplied together give a square (5475600 = 2340²).

The spelling of 13540560 in words is "thirteen million, five hundred forty thousand, five hundred sixty".