11642000 has 40 divisors (see below), whose sum is σ = 28155192. Its totient is φ = 4656000.

The previous prime is 11641961. The next prime is 11642009. The reversal of 11642000 is 24611.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 11641744 = 16^2 + 3412^2 .

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11642009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911 + ... + 4910.

Almost surely, 2^11642000 is an apocalyptic number.

11642000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11642000 is an abundant number, since it is smaller than the sum of its proper divisors (16513192).

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

11642000 is an equidigital number, since it uses as much as digits as its factorization.

11642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11642000 is about 3412.0375144479. The cubic root of 11642000 is about 226.6431155846.

Adding to 11642000 its reverse (24611), we get a palindrome (11666611).

The spelling of 11642000 in words is "eleven million, six hundred forty-two thousand".