1229600 has 72 divisors (see below), whose sum is σ = 3163860. Its totient is φ = 465920.

The previous prime is 1229597. The next prime is 1229617. The reversal of 1229600 is 69221.

It can be written as a sum of positive squares in 6 ways, for example, as 595984 + 633616 = 772^2 + 796^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23174 + ... + 23226.

2^1229600 is an apocalyptic number.

1229600 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 1229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581930).

1229600 is an abundant number, since it is smaller than the sum of its proper divisors (1934260).

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

1229600 is a wasteful number, since it uses less digits than its factorization.

1229600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1229600 is about 1108.8733020503. The cubic root of 1229600 is about 107.1325111703.

The spelling of 1229600 in words is "one million, two hundred twenty-nine thousand, six hundred".