11768460 has 72 divisors (see below), whose sum is σ = 36241968. Its totient is φ = 2851200.

The previous prime is 11768447. The next prime is 11768489. The reversal of 11768460 is 6486711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6450 + ... + 8070.

Almost surely, 2^11768460 is an apocalyptic number.

11768460 is a gapful number since it is divisible by the number (10) 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 11768460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120984).

11768460 is an abundant number, since it is smaller than the sum of its proper divisors (24473508).

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

11768460 is a wasteful number, since it uses less digits than its factorization.

11768460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 11768460 is about 3430.5189111853. The cubic root of 11768460 is about 227.4607910531.

The spelling of 11768460 in words is "eleven million, seven hundred sixty-eight thousand, four hundred sixty".