13500968 has 32 divisors (see below), whose sum is σ = 27904800. Its totient is φ = 6084288.

The previous prime is 13500961. The next prime is 13500983. The reversal of 13500968 is 86900531.

It is a super-2 number, since 2×13500968² = 364552273874048, which contains 22 as substring.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2963 + ... + 5981.

It is an arithmetic number, because the mean of its divisors is an integer number (872025).

Almost surely, 2^13500968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952400).

13500968 is an abundant number, since it is smaller than the sum of its proper divisors (14403832).

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

13500968 is a wasteful number, since it uses less digits than its factorization.

13500968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 13500968 is about 3674.3663399286. The cubic root of 13500968 is about 238.1158487859.

The spelling of 13500968 in words is "thirteen million, five hundred thousand, nine hundred sixty-eight".