11416000 has 56 divisors (see below), whose sum is σ = 28291536. Its totient is φ = 4563200.

The previous prime is 11415997. The next prime is 11416037. The reversal of 11416000 is 61411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7287 + ... + 8713.

It is an arithmetic number, because the mean of its divisors is an integer number (505206).

Almost surely, 2^11416000 is an apocalyptic number.

11416000 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 11416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145768).

11416000 is an abundant number, since it is smaller than the sum of its proper divisors (16875536).

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

11416000 is an equidigital number, since it uses as much as digits as its factorization.

11416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11416000 is about 3378.7571679539. The cubic root of 11416000 is about 225.1669542754.

Adding to 11416000 its reverse (61411), we get a palindrome (11477411).

The spelling of 11416000 in words is "eleven million, four hundred sixteen thousand".