11643840 has 168 divisors, whose sum is σ = 43269408. Its totient is φ = 2856960.

The previous prime is 11643839. The next prime is 11643851. The reversal of 11643840 is 4834611.

11643840 is a `hidden beast` number, since 11 + 643 + 8 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37285 + ... + 37595.

It is an arithmetic number, because the mean of its divisors is an integer number (257556).

Almost surely, 2^11643840 is an apocalyptic number.

11643840 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 11643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634704).

11643840 is an abundant number, since it is smaller than the sum of its proper divisors (31625568).

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

11643840 is a wasteful number, since it uses less digits than its factorization.

11643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11643840 is about 3412.3071374072. The cubic root of 11643840 is about 226.6550551530.

It can be divided in two parts, 116 and 43840, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 11643840 in words is "eleven million, six hundred forty-three thousand, eight hundred forty".