11906000 has 40 divisors (see below), whose sum is σ = 28793544. Its totient is φ = 4761600.

The previous prime is 11905991. The next prime is 11906003. The reversal of 11906000 is 60911.

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 8549776 = 1832^2 + 2924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11906000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 977 + ... + 4976.

Almost surely, 2^11906000 is an apocalyptic number.

11906000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11906000 is an abundant number, since it is smaller than the sum of its proper divisors (16887544).

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

11906000 is an equidigital number, since it uses as much as digits as its factorization.

11906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11906000 is about 3450.5072090926. The cubic root of 11906000 is about 228.3434855569.

Adding to 11906000 its reverse (60911), we get a palindrome (11966911).

The spelling of 11906000 in words is "eleven million, nine hundred six thousand".