1206138240 has 384 divisors, whose sum is σ = 4468089600. Its totient is φ = 298930176.

The previous prime is 1206138233. The next prime is 1206138257. The reversal of 1206138240 is 428316021.

1206138240 is a `hidden beast` number, since 1 + 2 + 0 + 613 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11272267 + ... + 11272373.

It is an arithmetic number, because the mean of its divisors is an integer number (11635650).

Almost surely, 2^1206138240 is an apocalyptic number.

1206138240 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 1206138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234044800).

1206138240 is an abundant number, since it is smaller than the sum of its proper divisors (3261951360).

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

1206138240 is a wasteful number, since it uses less digits than its factorization.

1206138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1206138240 is about 34729.5010041895. The cubic root of 1206138240 is about 1064.4673922200.

The spelling of 1206138240 in words is "one billion, two hundred six million, one hundred thirty-eight thousand, two hundred forty".