11787680 has 24 divisors (see below), whose sum is σ = 27848772. Its totient is φ = 4715008.

The previous prime is 11787679. The next prime is 11787689. The reversal of 11787680 is 8678711.

11787680 = 146² + 147² + ... + 337².

It can be written as a sum of positive squares in 2 ways, for example, as 11478544 + 309136 = 3388^2 + 556^2 .

It is not an unprimeable number, because it can be changed into a prime (11787689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36677 + ... + 36996.

Almost surely, 2^11787680 is an apocalyptic number.

11787680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11787680 is an abundant number, since it is smaller than the sum of its proper divisors (16061092).

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

11787680 is an equidigital number, since it uses as much as digits as its factorization.

11787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73688 (or 73680 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 38.

The square root of 11787680 is about 3433.3190938216. The cubic root of 11787680 is about 227.5845517543.

The spelling of 11787680 in words is "eleven million, seven hundred eighty-seven thousand, six hundred eighty".