11384640 has 168 divisors, whose sum is σ = 40416480. Its totient is φ = 2939904.

The previous prime is 11384627. The next prime is 11384647. The reversal of 11384640 is 4648311.

11384640 is a `hidden beast` number, since 1 + 13 + 8 + 4 + 640 = 666.

11384640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11384640² = 259220055859200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11384647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169887 + ... + 169953.

Almost surely, 2^11384640 is an apocalyptic number.

11384640 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 11384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208240).

11384640 is an abundant number, since it is smaller than the sum of its proper divisors (29031840).

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

11384640 is a wasteful number, since it uses less digits than its factorization.

11384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

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

The square root of 11384640 is about 3374.1132168319. The cubic root of 11384640 is about 224.9605856886.

It can be divided in two parts, 1138 and 4640, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 11384640 in words is "eleven million, three hundred eighty-four thousand, six hundred forty".