11630976 has 64 divisors (see below), whose sum is σ = 35316480. Its totient is φ = 3322368.

The previous prime is 11630947. The next prime is 11630989. The reversal of 11630976 is 67903611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (551820).

Almost surely, 2^11630976 is an apocalyptic number.

11630976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658240).

11630976 is an abundant number, since it is smaller than the sum of its proper divisors (23685504).

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

11630976 is an equidigital number, since it uses as much as digits as its factorization.

11630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 11630976 is about 3410.4216748080. The cubic root of 11630976 is about 226.5715556365.

The spelling of 11630976 in words is "eleven million, six hundred thirty thousand, nine hundred seventy-six".