10427680 has 24 divisors (see below), whose sum is σ = 24635772. Its totient is φ = 4171008.

The previous prime is 10427663. The next prime is 10427689. The reversal of 10427680 is 8672401.

It can be written as a sum of positive squares in 2 ways, for example, as 8456464 + 1971216 = 2908^2 + 1404^2 .

It is not an unprimeable number, because it can be changed into a prime (10427689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 32427 + ... + 32746.

Almost surely, 2^10427680 is an apocalyptic number.

10427680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10427680 is an abundant number, since it is smaller than the sum of its proper divisors (14208092).

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

10427680 is an equidigital number, since it uses as much as digits as its factorization.

10427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65188 (or 65180 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10427680 is about 3229.1918493642. The cubic root of 10427680 is about 218.4720573371.

The spelling of 10427680 in words is "ten million, four hundred twenty-seven thousand, six hundred eighty".