11764116 has 216 divisors, whose sum is σ = 40666080. Its totient is φ = 2939328.

The previous prime is 11764099. The next prime is 11764117. The reversal of 11764116 is 61146711.

11764116 is a `hidden beast` number, since 1 + 1 + 7 + 641 + 16 = 666.

It is a super-2 number, since 2×11764116² = 276788850522912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11764116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11764117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619155 + ... + 619173.

Almost surely, 2^11764116 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 11764116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333040).

11764116 is an abundant number, since it is smaller than the sum of its proper divisors (28901964).

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

11764116 is a wasteful number, since it uses less digits than its factorization.

11764116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 11764116 is about 3429.8857123817. The cubic root of 11764116 is about 227.4328006653.

The spelling of 11764116 in words is "eleven million, seven hundred sixty-four thousand, one hundred sixteen".