11483640 has 256 divisors, whose sum is σ = 46080000. Its totient is φ = 2540160.

The previous prime is 11483639. The next prime is 11483683. The reversal of 11483640 is 4638411.

11483640 is a `hidden beast` number, since 1 + 14 + 8 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370425 + ... + 370455.

It is an arithmetic number, because the mean of its divisors is an integer number (180000).

Almost surely, 2^11483640 is an apocalyptic number.

11483640 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 11483640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040000).

11483640 is an abundant number, since it is smaller than the sum of its proper divisors (34596360).

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

11483640 is a wasteful number, since it uses less digits than its factorization.

11483640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

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

The square root of 11483640 is about 3388.7519826626. The cubic root of 11483640 is about 225.6107849077.

The spelling of 11483640 in words is "eleven million, four hundred eighty-three thousand, six hundred forty".