11765640 has 32 divisors (see below), whose sum is σ = 35297280. Its totient is φ = 3137472.

The previous prime is 11765609. The next prime is 11765641. The reversal of 11765640 is 4656711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11765598 and 11765607.

It is not an unprimeable number, because it can be changed into a prime (11765641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48904 + ... + 49143.

It is an arithmetic number, because the mean of its divisors is an integer number (1103040).

Almost surely, 2^11765640 is an apocalyptic number.

11765640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11765640 is an abundant number, since it is smaller than the sum of its proper divisors (23531640).

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

11765640 is a wasteful number, since it uses less digits than its factorization.

11765640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98061 (or 98057 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 11765640 is about 3430.1078700239. The cubic root of 11765640 is about 227.4426212820.

The spelling of 11765640 in words is "eleven million, seven hundred sixty-five thousand, six hundred forty".