11631000 has 64 divisors (see below), whose sum is σ = 36298080. Its totient is φ = 3100800.

The previous prime is 11630989. The next prime is 11631013. The reversal of 11631000 is 13611.

11631000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11631000² = 270560322000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062 + ... + 4938.

Almost surely, 2^11631000 is an apocalyptic number.

11631000 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 11631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18149040).

11631000 is an abundant number, since it is smaller than the sum of its proper divisors (24667080).

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

11631000 is a wasteful number, since it uses less digits than its factorization.

11631000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11631000 is about 3410.4251934326. The cubic root of 11631000 is about 226.5717114764.

Adding to 11631000 its reverse (13611), we get a palindrome (11644611).

The spelling of 11631000 in words is "eleven million, six hundred thirty-one thousand".