1206385800 has 96 divisors (see below), whose sum is σ = 3745072800. Its totient is φ = 321249280.

The previous prime is 1206385787. The next prime is 1206385823. The reversal of 1206385800 is 85836021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844687 + ... + 846113.

It is an arithmetic number, because the mean of its divisors is an integer number (39011175).

Almost surely, 2^1206385800 is an apocalyptic number.

1206385800 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 1206385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872536400).

1206385800 is an abundant number, since it is smaller than the sum of its proper divisors (2538687000).

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

1206385800 is a wasteful number, since it uses less digits than its factorization.

1206385800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1206385800 is about 34733.0649381825. The cubic root of 1206385800 is about 1064.5402145858.

The spelling of 1206385800 in words is "one billion, two hundred six million, three hundred eighty-five thousand, eight hundred".