1206316800 has 540 divisors, whose sum is σ = 4830237720. Its totient is φ = 295280640.

The previous prime is 1206316789. The next prime is 1206316847. The reversal of 1206316800 is 86136021.

1206316800 is a `hidden beast` number, since 1 + 20 + 631 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6739111 + ... + 6739289.

Almost surely, 2^1206316800 is an apocalyptic number.

1206316800 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 1206316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415118860).

1206316800 is an abundant number, since it is smaller than the sum of its proper divisors (3623920920).

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

1206316800 is a wasteful number, since it uses less digits than its factorization.

1206316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1206316800 is about 34732.0716341539. The cubic root of 1206316800 is about 1064.5199185149.

The spelling of 1206316800 in words is "one billion, two hundred six million, three hundred sixteen thousand, eight hundred".