13500960 has 96 divisors (see below), whose sum is σ = 46412352. Its totient is φ = 3271680.

The previous prime is 13500959. The next prime is 13500961. The reversal of 13500960 is 6900531.

It is an interprime number because it is at equal distance from previous prime (13500959) and next prime (13500961).

It is a tau number, because it is divible by the number of its divisors (96).

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 13500960.

It is not an unprimeable number, because it can be changed into a prime (13500961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4002 + ... + 6558.

It is an arithmetic number, because the mean of its divisors is an integer number (483462).

Almost surely, 2^13500960 is an apocalyptic number.

13500960 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 13500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206176).

13500960 is an abundant number, since it is smaller than the sum of its proper divisors (32911392).

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

13500960 is a wasteful number, since it uses less digits than its factorization.

13500960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 13500960 is about 3674.3652513053. The cubic root of 13500960 is about 238.1158017541.

It can be divided in two parts, 13500 and 960, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 13500960 in words is "thirteen million, five hundred thousand, nine hundred sixty".