11768832 has 66 divisors (see below), whose sum is σ = 34008858. Its totient is φ = 3919872.

The previous prime is 11768831. The next prime is 11768833. The reversal of 11768832 is 23886711.

It is an interprime number because it is at equal distance from previous prime (11768831) and next prime (11768833).

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 1115136 = 3264^2 + 1056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11768831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8578 + ... + 9854.

Almost surely, 2^11768832 is an apocalyptic number.

11768832 is a gapful number since it is divisible by the number (12) 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 11768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004429).

11768832 is an abundant number, since it is smaller than the sum of its proper divisors (22240026).

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

11768832 is a wasteful number, since it uses less digits than its factorization.

11768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1282 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11768832 is about 3430.5731299595. The cubic root of 11768832 is about 227.4631876998.

The spelling of 11768832 in words is "eleven million, seven hundred sixty-eight thousand, eight hundred thirty-two".