11415680 has 32 divisors (see below), whose sum is σ = 27292140. Its totient is φ = 4566016.

The previous prime is 11415673. The next prime is 11415697. The reversal of 11415680 is 8651411.

It can be written as a sum of positive squares in 2 ways, for example, as 11235904 + 179776 = 3352^2 + 424^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8279 + ... + 9558.

Almost surely, 2^11415680 is an apocalyptic number.

11415680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11415680 is an abundant number, since it is smaller than the sum of its proper divisors (15876460).

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

11415680 is an equidigital number, since it uses as much as digits as its factorization.

11415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17856 (or 17844 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 11415680 is about 3378.7098129316. The cubic root of 11415680 is about 225.1648503833.

The spelling of 11415680 in words is "eleven million, four hundred fifteen thousand, six hundred eighty".