1206066400 has 216 divisors, whose sum is σ = 3737713896. Its totient is φ = 375782400.

The previous prime is 1206066383. The next prime is 1206066403. The reversal of 1206066400 is 46606021.

It is a happy number.

It is a super-2 number, since 2×1206066400² = 2909192322417920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206066403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 429802 + ... + 432598.

It is an arithmetic number, because the mean of its divisors is an integer number (17304231).

Almost surely, 2^1206066400 is an apocalyptic number.

1206066400 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 1206066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868856948).

1206066400 is an abundant number, since it is smaller than the sum of its proper divisors (2531647496).

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

1206066400 is a wasteful number, since it uses less digits than its factorization.

1206066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1206066400 is about 34728.4667096029. The cubic root of 1206066400 is about 1064.4462578665.

The spelling of 1206066400 in words is "one billion, two hundred six million, sixty-six thousand, four hundred".