11766096 has 60 divisors (see below), whose sum is σ = 33295860. Its totient is φ = 3878400.

The previous prime is 11766061. The next prime is 11766109. The reversal of 11766096 is 69066711.

It can be written as a sum of positive squares in 2 ways, for example, as 10890000 + 876096 = 3300^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11766096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14140 + ... + 14948.

It is an arithmetic number, because the mean of its divisors is an integer number (554931).

Almost surely, 2^11766096 is an apocalyptic number.

11766096 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 11766096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647930).

11766096 is an abundant number, since it is smaller than the sum of its proper divisors (21529764).

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

11766096 is a wasteful number, since it uses less digits than its factorization.

11766096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 11766096 is about 3430.1743395927. The cubic root of 11766096 is about 227.4455595694.

11766096 divided by its sum of digits (36) gives a triangular number (326836 = T₈₀₈).

The spelling of 11766096 in words is "eleven million, seven hundred sixty-six thousand, ninety-six".