11628630 has 64 divisors (see below), whose sum is σ = 33405120. Its totient is φ = 2861568.

The previous prime is 11628607. The next prime is 11628637. The reversal of 11628630 is 3682611.

11628630 is a `hidden beast` number, since 1 + 1 + 6 + 28 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11628594 and 11628603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628637) 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 31 ways as a sum of consecutive naturals, for example, 1854 + ... + 5166.

It is an arithmetic number, because the mean of its divisors is an integer number (521955).

Almost surely, 2^11628630 is an apocalyptic number.

11628630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702560).

11628630 is an abundant number, since it is smaller than the sum of its proper divisors (21776490).

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

11628630 is a wasteful number, since it uses less digits than its factorization.

11628630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11628630 is about 3410.0777117245. The cubic root of 11628630 is about 226.5563212425.

The spelling of 11628630 in words is "eleven million, six hundred twenty-eight thousand, six hundred thirty".