11927680 has 32 divisors (see below), whose sum is σ = 28516140. Its totient is φ = 4770816.

The previous prime is 11927633. The next prime is 11927683. The reversal of 11927680 is 8672911.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9784384 + 2143296 = 3128^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11927683) 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, 8679 + ... + 9958.

Almost surely, 2^11927680 is an apocalyptic number.

11927680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11927680 is an abundant number, since it is smaller than the sum of its proper divisors (16588460).

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

11927680 is an equidigital number, since it uses as much as digits as its factorization.

11927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18656 (or 18644 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11927680 is about 3453.6473473706. The cubic root of 11927680 is about 228.4820007305.

The spelling of 11927680 in words is "eleven million, nine hundred twenty-seven thousand, six hundred eighty".