1206853200 has 360 divisors, whose sum is σ = 4852481088. Its totient is φ = 272056320.

The previous prime is 1206853147. The next prime is 1206853213. The reversal of 1206853200 is 23586021.

1206853200 is a `hidden beast` number, since 120 + 6 + 8 + 532 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2091312 + ... + 2091888.

Almost surely, 2^1206853200 is an apocalyptic number.

1206853200 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 1206853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426240544).

1206853200 is an abundant number, since it is smaller than the sum of its proper divisors (3645627888).

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

1206853200 is a wasteful number, since it uses less digits than its factorization.

1206853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1206853200 is about 34739.7927454958. The cubic root of 1206853200 is about 1064.6776780328.

The spelling of 1206853200 in words is "one billion, two hundred six million, eight hundred fifty-three thousand, two hundred".