1205665488 has 120 divisors (see below), whose sum is σ = 3548511720. Its totient is φ = 381588480.

The previous prime is 1205665471. The next prime is 1205665493. The reversal of 1205665488 is 8845665021.

1205665488 is a `hidden beast` number, since 1 + 2 + 0 + 566 + 5 + 4 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 1199375424 = 2508^2 + 34632^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252370 + ... + 257102.

It is an arithmetic number, because the mean of its divisors is an integer number (29570931).

Almost surely, 2^1205665488 is an apocalyptic number.

1205665488 is a gapful number since it is divisible by the number (18) 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 1205665488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774255860).

1205665488 is an abundant number, since it is smaller than the sum of its proper divisors (2342846232).

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

1205665488 is a wasteful number, since it uses less digits than its factorization.

1205665488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1205665488 is about 34722.6941351042. The cubic root of 1205665488 is about 1064.3282995815.

The spelling of 1205665488 in words is "one billion, two hundred five million, six hundred sixty-five thousand, four hundred eighty-eight".