11716000 has 96 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 4480000.

The previous prime is 11715997. The next prime is 11716007. The reversal of 11716000 is 61711.

It can be written as a sum of positive squares in 8 ways, for example, as 2547216 + 9168784 = 1596^2 + 3028^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11716007) 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, 115950 + ... + 116050.

Almost surely, 2^11716000 is an apocalyptic number.

11716000 is a gapful number since it is divisible by the number (10) 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 11716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

11716000 is an abundant number, since it is smaller than the sum of its proper divisors (18357680).

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

11716000 is a wasteful number, since it uses less digits than its factorization.

11716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 11716000 is about 3422.8642976314. The cubic root of 11716000 is about 227.1223053127.

Adding to 11716000 its reverse (61711), we get a palindrome (11777711).

The spelling of 11716000 in words is "eleven million, seven hundred sixteen thousand".