11640000 has 140 divisors (see below), whose sum is σ = 38881304. Its totient is φ = 3072000.

The previous prime is 11639987. The next prime is 11640007. The reversal of 11640000 is 4611.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119952 + ... + 120048.

Almost surely, 2^11640000 is an apocalyptic number.

11640000 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 11640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440652).

11640000 is an abundant number, since it is smaller than the sum of its proper divisors (27241304).

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

11640000 is an frugal number, since it uses more digits than its factorization.

11640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

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

The square root of 11640000 is about 3411.7444218464. The cubic root of 11640000 is about 226.6301363660.

Adding to 11640000 its reverse (4611), we get a palindrome (11644611).

The spelling of 11640000 in words is "eleven million, six hundred forty thousand".