12573630 has 120 divisors (see below), whose sum is σ = 36511992. Its totient is φ = 3102624.

The previous prime is 12573629. The next prime is 12573637. The reversal of 12573630 is 3637521.

It is a happy number.

12573630 is a `hidden beast` number, since 1 + 25 + 7 + 3 + 630 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12573594 and 12573603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12573637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 292389 + ... + 292431.

Almost surely, 2^12573630 is an apocalyptic number.

12573630 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 12573630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255996).

12573630 is an abundant number, since it is smaller than the sum of its proper divisors (23938362).

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

12573630 is a wasteful number, since it uses less digits than its factorization.

12573630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 12573630 is about 3545.9314714190. The cubic root of 12573630 is about 232.5342301319.

It can be divided in two parts, 12573 and 630, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12573630 in words is "twelve million, five hundred seventy-three thousand, six hundred thirty".