11631840 has 96 divisors (see below), whose sum is σ = 39989376. Its totient is φ = 2818560.

The previous prime is 11631833. The next prime is 11631853. The reversal of 11631840 is 4813611.

11631840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11631840.

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, 4179 + ... + 6381.

It is an arithmetic number, because the mean of its divisors is an integer number (416556).

Almost surely, 2^11631840 is an apocalyptic number.

11631840 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 11631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994688).

11631840 is an abundant number, since it is smaller than the sum of its proper divisors (28357536).

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

11631840 is a wasteful number, since it uses less digits than its factorization.

11631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11631840 is about 3410.5483430088. The cubic root of 11631840 is about 226.5771657411.

It can be divided in two parts, 1163 and 1840, that added together give a palindrome (3003).

The spelling of 11631840 in words is "eleven million, six hundred thirty-one thousand, eight hundred forty".