11871264 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3828480.

The previous prime is 11871259. The next prime is 11871269. The reversal of 11871264 is 46217811.

It is an interprime number because it is at equal distance from previous prime (11871259) and next prime (11871269).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11871269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^11871264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11871264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

11871264 is an abundant number, since it is smaller than the sum of its proper divisors (20304096).

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

11871264 is a wasteful number, since it uses less digits than its factorization.

11871264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4025 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 11871264 is about 3445.4700695261. The cubic root of 11871264 is about 228.1212036398.

The spelling of 11871264 in words is "eleven million, eight hundred seventy-one thousand, two hundred sixty-four".