11875616 has 48 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 5617920.

The previous prime is 11875607. The next prime is 11875621. The reversal of 11875616 is 61657811.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62081 + ... + 62271.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^11875616 is an apocalyptic number.

11875616 is a gapful number since it is divisible by the number (16) 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 11875616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

11875616 is an abundant number, since it is smaller than the sum of its proper divisors (12800224).

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

11875616 is a wasteful number, since it uses less digits than its factorization.

11875616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The square root of 11875616 is about 3446.1015655375. The cubic root of 11875616 is about 228.1490766106.

The spelling of 11875616 in words is "eleven million, eight hundred seventy-five thousand, six hundred sixteen".