11205630 has 48 divisors (see below), whose sum is σ = 30672720. Its totient is φ = 2830464.

The previous prime is 11205619. The next prime is 11205637. The reversal of 11205630 is 3650211.

11205630 is a `hidden beast` number, since 11 + 20 + 5 + 630 = 666.

It is a super-2 number, since 2×11205630² = 251132287393800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (639015).

Almost surely, 2^11205630 is an apocalyptic number.

11205630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11205630 is an abundant number, since it is smaller than the sum of its proper divisors (19467090).

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

11205630 is a wasteful number, since it uses less digits than its factorization.

11205630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11205630 is about 3347.4811425906. The cubic root of 11205630 is about 223.7752715336.

Adding to 11205630 its reverse (3650211), we get a palindrome (14855841).

The spelling of 11205630 in words is "eleven million, two hundred five thousand, six hundred thirty".