11630580 has 144 divisors (see below), whose sum is σ = 37384704. Its totient is φ = 2695680.

The previous prime is 11630503. The next prime is 11630623. The reversal of 11630580 is 8503611.

It is a super-3 number, since 3×11630580³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11630580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314322 + ... + 314358.

It is an arithmetic number, because the mean of its divisors is an integer number (259616).

Almost surely, 2^11630580 is an apocalyptic number.

11630580 is a gapful number since it is divisible by the number (10) 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 11630580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692352).

11630580 is an abundant number, since it is smaller than the sum of its proper divisors (25754124).

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

11630580 is a wasteful number, since it uses less digits than its factorization.

11630580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11630580 is about 3410.3636169769. The cubic root of 11630580 is about 226.5689842457.

The spelling of 11630580 in words is "eleven million, six hundred thirty thousand, five hundred eighty".