11763680 has 24 divisors (see below), whose sum is σ = 27792072. Its totient is φ = 4705408.

The previous prime is 11763671. The next prime is 11763683. The reversal of 11763680 is 8636711.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11763683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36602 + ... + 36921.

It is an arithmetic number, because the mean of its divisors is an integer number (1158003).

Almost surely, 2^11763680 is an apocalyptic number.

11763680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11763680 is an abundant number, since it is smaller than the sum of its proper divisors (16028392).

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

11763680 is an equidigital number, since it uses as much as digits as its factorization.

11763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73538 (or 73530 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 11763680 is about 3429.8221528237. The cubic root of 11763680 is about 227.4299909365.

The spelling of 11763680 in words is "eleven million, seven hundred sixty-three thousand, six hundred eighty".