11630480 has 20 divisors (see below), whose sum is σ = 27041052. Its totient is φ = 4652160.

The previous prime is 11630477. The next prime is 11630491. The reversal of 11630480 is 8403611.

11630480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3519376 + 8111104 = 1876^2 + 2848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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, 72611 + ... + 72770.

Almost surely, 2^11630480 is an apocalyptic number.

11630480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11630480 is an abundant number, since it is smaller than the sum of its proper divisors (15410572).

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

11630480 is a wasteful number, since it uses less digits than its factorization.

11630480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145394 (or 145388 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 11630480 is about 3410.3489557522. The cubic root of 11630480 is about 226.5683348953.

The spelling of 11630480 in words is "eleven million, six hundred thirty thousand, four hundred eighty".