1161590976 has 448 divisors, whose sum is σ = 4301337600. Its totient is φ = 299261952.

The previous prime is 1161590959. The next prime is 1161590981. The reversal of 1161590976 is 6790951611.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 13051540 + ... + 13051628.

It is an arithmetic number, because the mean of its divisors is an integer number (9601200).

Almost surely, 2^1161590976 is an apocalyptic number.

1161590976 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 1161590976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150668800).

1161590976 is an abundant number, since it is smaller than the sum of its proper divisors (3139746624).

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

1161590976 is a wasteful number, since it uses less digits than its factorization.

1161590976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 1161590976 is about 34082.1210607556. The cubic root of 1161590976 is about 1051.1977189751.

The spelling of 1161590976 in words is "one billion, one hundred sixty-one million, five hundred ninety thousand, nine hundred seventy-six".