1206681600 has 192 divisors, whose sum is σ = 3998159280. Its totient is φ = 321126400.

The previous prime is 1206681599. The next prime is 1206681617. The reversal of 1206681600 is 61866021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457355 + ... + 2457845.

Almost surely, 2^1206681600 is an apocalyptic number.

1206681600 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 1206681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999079640).

1206681600 is an abundant number, since it is smaller than the sum of its proper divisors (2791477680).

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

1206681600 is an frugal number, since it uses more digits than its factorization.

1206681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1206681600 is about 34737.3228674865. The cubic root of 1206681600 is about 1064.6272141903.

The spelling of 1206681600 in words is "one billion, two hundred six million, six hundred eighty-one thousand, six hundred".