1206349200 has 480 divisors, whose sum is σ = 4992894720. Its totient is φ = 274337280.

The previous prime is 1206349187. The next prime is 1206349201. The reversal of 1206349200 is 29436021.

1206349200 is a `hidden beast` number, since 1 + 2 + 0 + 634 + 9 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1206349201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6123502 + ... + 6123698.

It is an arithmetic number, because the mean of its divisors is an integer number (10401864).

Almost surely, 2^1206349200 is an apocalyptic number.

1206349200 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 1206349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496447360).

1206349200 is an abundant number, since it is smaller than the sum of its proper divisors (3786545520).

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

1206349200 is an equidigital number, since it uses as much as digits as its factorization.

1206349200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1206349200 is about 34732.5380587138. The cubic root of 1206349200 is about 1064.5294489402.

The spelling of 1206349200 in words is "one billion, two hundred six million, three hundred forty-nine thousand, two hundred".