13261968 has 80 divisors (see below), whose sum is σ = 38638400. Its totient is φ = 4408992.

The previous prime is 13261907. The next prime is 13261999. The reversal of 13261968 is 86916231.

13261968 is a `hidden beast` number, since 1 + 32 + 619 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34803 + ... + 35181.

It is an arithmetic number, because the mean of its divisors is an integer number (482980).

Almost surely, 2^13261968 is an apocalyptic number.

13261968 is a gapful number since it is divisible by the number (18) 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 13261968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319200).

13261968 is an abundant number, since it is smaller than the sum of its proper divisors (25376432).

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

13261968 is an frugal number, since it uses more digits than its factorization.

13261968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13261968 is about 3641.6985048189. The cubic root of 13261968 is about 236.7023984490.

The spelling of 13261968 in words is "thirteen million, two hundred sixty-one thousand, nine hundred sixty-eight".