11607768 has 48 divisors (see below), whose sum is σ = 31608720. Its totient is φ = 3848256.

The previous prime is 11607763. The next prime is 11607773. The reversal of 11607768 is 86770611.

It is a happy number.

11607768 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 is an interprime number because it is at equal distance from previous prime (11607763) and next prime (11607773).

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 (11607763) 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, 18630 + ... + 19242.

It is an arithmetic number, because the mean of its divisors is an integer number (658515).

Almost surely, 2^11607768 is an apocalyptic number.

11607768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11607768 is an abundant number, since it is smaller than the sum of its proper divisors (20000952).

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

11607768 is a wasteful number, since it uses less digits than its factorization.

11607768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 11607768 is about 3407.0174639999. The cubic root of 11607768 is about 226.4207579181.

The spelling of 11607768 in words is "eleven million, six hundred seven thousand, seven hundred sixty-eight".