1205967488 has 64 divisors (see below), whose sum is σ = 2775150720. Its totient is φ = 515911680.

The previous prime is 1205967479. The next prime is 1205967541. The reversal of 1205967488 is 8847695021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1205967488² = 2908715164226060288, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1256 + ... + 49127.

It is an arithmetic number, because the mean of its divisors is an integer number (43361730).

Almost surely, 2^1205967488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387575360).

1205967488 is an abundant number, since it is smaller than the sum of its proper divisors (1569183232).

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

1205967488 is a wasteful number, since it uses less digits than its factorization.

1205967488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50425 (or 50413 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 1205967488 is about 34727.0426037116. The cubic root of 1205967488 is about 1064.4171579245.

The spelling of 1205967488 in words is "one billion, two hundred five million, nine hundred sixty-seven thousand, four hundred eighty-eight".