11605968 has 120 divisors (see below), whose sum is σ = 37604736. Its totient is φ = 3302400.

The previous prime is 11605939. The next prime is 11605981. The reversal of 11605968 is 86950611.

11605968 is a `hidden beast` number, since 1 + 1 + 60 + 596 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26713 + ... + 27143.

Almost surely, 2^11605968 is an apocalyptic number.

11605968 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 11605968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802368).

11605968 is an abundant number, since it is smaller than the sum of its proper divisors (25998768).

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

11605968 is a wasteful number, since it uses less digits than its factorization.

11605968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

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

The square root of 11605968 is about 3406.7532930930. The cubic root of 11605968 is about 226.4090537319.

The spelling of 11605968 in words is "eleven million, six hundred five thousand, nine hundred sixty-eight".