1161880992 has 144 divisors (see below), whose sum is σ = 3434296320. Its totient is φ = 372211200.

The previous prime is 1161880987. The next prime is 1161881009. The reversal of 1161880992 is 2990881611.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615609 + ... + 1616327.

It is an arithmetic number, because the mean of its divisors is an integer number (23849280).

Almost surely, 2^1161880992 is an apocalyptic number.

1161880992 is a gapful number since it is divisible by the number (12) 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 1161880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

1161880992 is an abundant number, since it is smaller than the sum of its proper divisors (2272415328).

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

1161880992 is a wasteful number, since it uses less digits than its factorization.

1161880992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1161880992 is about 34086.3754599987. The cubic root of 1161880992 is about 1051.2851963503.

The spelling of 1161880992 in words is "one billion, one hundred sixty-one million, eight hundred eighty thousand, nine hundred ninety-two".