11406000 has 80 divisors (see below), whose sum is σ = 36792288. Its totient is φ = 3040000.

The previous prime is 11405987. The next prime is 11406001. The reversal of 11406000 is 60411.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (11406001) 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, 5050 + ... + 6950.

Almost surely, 2^11406000 is an apocalyptic number.

11406000 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 11406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396144).

11406000 is an abundant number, since it is smaller than the sum of its proper divisors (25386288).

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

11406000 is a wasteful number, since it uses less digits than its factorization.

11406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11406000 is about 3377.2770096633. The cubic root of 11406000 is about 225.1011890534.

Adding to 11406000 its reverse (60411), we get a palindrome (11466411).

It can be divided in two parts, 1140 and 6000, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 11406000 in words is "eleven million, four hundred six thousand".