11790000 has 150 divisors (see below), whose sum is σ = 41546076. Its totient is φ = 3120000.

The previous prime is 11789983. The next prime is 11790017. The reversal of 11790000 is 9711.

It is an interprime number because it is at equal distance from previous prime (11789983) and next prime (11790017).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 89935 + ... + 90065.

Almost surely, 2^11790000 is an apocalyptic number.

11790000 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 11790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773038).

11790000 is an abundant number, since it is smaller than the sum of its proper divisors (29756076).

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

11790000 is a wasteful number, since it uses less digits than its factorization.

11790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 11790000 is about 3433.6569426779. The cubic root of 11790000 is about 227.5994815094.

Adding to 11790000 its reverse (9711), we get a palindrome (11799711).

The spelling of 11790000 in words is "eleven million, seven hundred ninety thousand".