11768500 has 24 divisors (see below), whose sum is σ = 25703496. Its totient is φ = 4707200.

The previous prime is 11768489. The next prime is 11768509. The reversal of 11768500 is 586711.

It is a happy number.

11768500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1036324 + 10732176 = 1018^2 + 3276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11768509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11269 + ... + 12268.

It is an arithmetic number, because the mean of its divisors is an integer number (1070979).

Almost surely, 2^11768500 is an apocalyptic number.

11768500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11768500 is an abundant number, since it is smaller than the sum of its proper divisors (13934996).

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

11768500 is a wasteful number, since it uses less digits than its factorization.

11768500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23556 (or 23544 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 11768500 is about 3430.5247412021. The cubic root of 11768500 is about 227.4610487595.

The spelling of 11768500 in words is "eleven million, seven hundred sixty-eight thousand, five hundred".