1205406816 has 192 divisors, whose sum is σ = 3541708800. Its totient is φ = 357198336.

The previous prime is 1205406799. The next prime is 1205406817. The reversal of 1205406816 is 6186045021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205406817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2474925 + ... + 2475411.

It is an arithmetic number, because the mean of its divisors is an integer number (18446400).

Almost surely, 2^1205406816 is an apocalyptic number.

1205406816 is a gapful number since it is divisible by the number (16) 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 1205406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770854400).

1205406816 is an abundant number, since it is smaller than the sum of its proper divisors (2336301984).

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

1205406816 is a wasteful number, since it uses less digits than its factorization.

1205406816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

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

The square root of 1205406816 is about 34718.9691091196. The cubic root of 1205406816 is about 1064.2521779639.

The spelling of 1205406816 in words is "one billion, two hundred five million, four hundred six thousand, eight hundred sixteen".