11875968 has 144 divisors (see below), whose sum is σ = 37611990. Its totient is φ = 3594240.

The previous prime is 11875943. The next prime is 11875973. The reversal of 11875968 is 86957811.

It can be written as a sum of positive squares in 3 ways, for example, as 2585664 + 9290304 = 1608^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194658 + ... + 194718.

Almost surely, 2^11875968 is an apocalyptic number.

11875968 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 11875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805995).

11875968 is an abundant number, since it is smaller than the sum of its proper divisors (25736022).

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

11875968 is a wasteful number, since it uses less digits than its factorization.

11875968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 11875968 is about 3446.1526373624. The cubic root of 11875968 is about 228.1513307444.

The spelling of 11875968 in words is "eleven million, eight hundred seventy-five thousand, nine hundred sixty-eight".