11506968 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3346560.

The previous prime is 11506933. The next prime is 11506987. The reversal of 11506968 is 86960511.

11506968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 68821 + ... + 68987.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^11506968 is an apocalyptic number.

11506968 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 11506968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11506968 is an abundant number, since it is smaller than the sum of its proper divisors (24781032).

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

11506968 is a wasteful number, since it uses less digits than its factorization.

11506968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11506968 is about 3392.1922115352. The cubic root of 11506968 is about 225.7634510368.

It can be divided in two parts, 1150 and 6968, that added together give a palindrome (8118).

The spelling of 11506968 in words is "eleven million, five hundred six thousand, nine hundred sixty-eight".