11891264 has 112 divisors (see below), whose sum is σ = 31211520. Its totient is φ = 4354560.

The previous prime is 11891261. The next prime is 11891267. The reversal of 11891264 is 46219811.

It is an interprime number because it is at equal distance from previous prime (11891261) and next prime (11891267).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11891264.

It is not an unprimeable number, because it can be changed into a prime (11891261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93569 + ... + 93695.

Almost surely, 2^11891264 is an apocalyptic number.

11891264 is a gapful number since it is divisible by the number (14) 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 11891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605760).

11891264 is an abundant number, since it is smaller than the sum of its proper divisors (19320256).

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

11891264 is a wasteful number, since it uses less digits than its factorization.

11891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 11891264 is about 3448.3712097163. The cubic root of 11891264 is about 228.2492401124.

The spelling of 11891264 in words is "eleven million, eight hundred ninety-one thousand, two hundred sixty-four".