11953116 has 96 divisors (see below), whose sum is σ = 36001280. Its totient is φ = 3359232.

The previous prime is 11953111. The next prime is 11953121. The reversal of 11953116 is 61135911.

11953116 is a `hidden beast` number, since 119 + 531 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (11953111) and next prime (11953121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11953116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11953111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73251 + ... + 73413.

Almost surely, 2^11953116 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 11953116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000640).

11953116 is an abundant number, since it is smaller than the sum of its proper divisors (24048164).

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

11953116 is a wasteful number, since it uses less digits than its factorization.

11953116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 11953116 is about 3457.3278699018. The cubic root of 11953116 is about 228.6442994590.

It can be divided in two parts, 119 and 53116, that added together give a palindrome (53235).

The spelling of 11953116 in words is "eleven million, nine hundred fifty-three thousand, one hundred sixteen".