991160352 has 288 divisors, whose sum is σ = 3533362560. Its totient is φ = 256573440.

The previous prime is 991160309. The next prime is 991160377. The reversal of 991160352 is 253061199.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1545952 + ... + 1546592.

It is an arithmetic number, because the mean of its divisors is an integer number (12268620).

Almost surely, 2^991160352 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 991160352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766681280).

991160352 is an abundant number, since it is smaller than the sum of its proper divisors (2542202208).

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

991160352 is a wasteful number, since it uses less digits than its factorization.

991160352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 991160352 is about 31482.6992489526. The cubic root of 991160352 is about 997.0447256235.

The spelling of 991160352 in words is "nine hundred ninety-one million, one hundred sixty thousand, three hundred fifty-two".