11606000 has 80 divisors (see below), whose sum is σ = 32111040. Its totient is φ = 3974400.

The previous prime is 11605987. The next prime is 11606009. The reversal of 11606000 is 60611.

11606000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

11606000 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11606009) 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, 13586 + ... + 14414.

It is an arithmetic number, because the mean of its divisors is an integer number (401388).

Almost surely, 2^11606000 is an apocalyptic number.

11606000 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 11606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055520).

11606000 is an abundant number, since it is smaller than the sum of its proper divisors (20505040).

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

11606000 is an equidigital number, since it uses as much as digits as its factorization.

11606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 11606000 is about 3406.7579896435. The cubic root of 11606000 is about 226.4092618169.

Adding to 11606000 its reverse (60611), we get a palindrome (11666611).

The spelling of 11606000 in words is "eleven million, six hundred six thousand".