11764680 has 128 divisors (see below), whose sum is σ = 38361600. Its totient is φ = 2875392.

The previous prime is 11764673. The next prime is 11764693. The reversal of 11764680 is 8646711.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 148881 + ... + 148959.

It is an arithmetic number, because the mean of its divisors is an integer number (299700).

Almost surely, 2^11764680 is an apocalyptic number.

11764680 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 11764680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180800).

11764680 is an abundant number, since it is smaller than the sum of its proper divisors (26596920).

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

11764680 is a wasteful number, since it uses less digits than its factorization.

11764680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

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

The square root of 11764680 is about 3429.9679298792. The cubic root of 11764680 is about 227.4364351656.

The spelling of 11764680 in words is "eleven million, seven hundred sixty-four thousand, six hundred eighty".