12621600 has 108 divisors (see below), whose sum is σ = 44532306. Its totient is φ = 3363840.

The previous prime is 12621589. The next prime is 12621607. The reversal of 12621600 is 612621.

It is a happy number.

12621600 is a `hidden beast` number, since 1 + 2 + 62 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5588496 + 7033104 = 2364^2 + 2652^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12621607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6324 + ... + 8076.

Almost surely, 2^12621600 is an apocalyptic number.

12621600 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 12621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266153).

12621600 is an abundant number, since it is smaller than the sum of its proper divisors (31910706).

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

12621600 is a wasteful number, since it uses less digits than its factorization.

12621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12621600 is about 3552.6891223410. The cubic root of 12621600 is about 232.8295707645.

The spelling of 12621600 in words is "twelve million, six hundred twenty-one thousand, six hundred".