11789640 has 48 divisors (see below), whose sum is σ = 38317500. Its totient is φ = 3143808.

The previous prime is 11789623. The next prime is 11789647. The reversal of 11789640 is 4698711.

11789640 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 9 + 640 = 666.

11789640 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 can be written as a sum of positive squares in 2 ways, for example, as 11329956 + 459684 = 3366^2 + 678^2 .

It is a super-2 number, since 2×11789640² = 277991222659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11789595 and 11789604.

It is not an unprimeable number, because it can be changed into a prime (11789647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16015 + ... + 16734.

Almost surely, 2^11789640 is an apocalyptic number.

11789640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11789640 is an abundant number, since it is smaller than the sum of its proper divisors (26527860).

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

11789640 is a wasteful number, since it uses less digits than its factorization.

11789640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32766 (or 32759 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11789640 is about 3433.6045200343. The cubic root of 11789640 is about 227.5971649516.

The spelling of 11789640 in words is "eleven million, seven hundred eighty-nine thousand, six hundred forty".