991074960 has 480 divisors, whose sum is σ = 3809756160. Its totient is φ = 236390400.

The previous prime is 991074949. The next prime is 991074989. The reversal of 991074960 is 69470199.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 24172540 + ... + 24172580.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^991074960 is an apocalyptic number.

991074960 is a gapful number since it is divisible by the number (90) 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 991074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904878080).

991074960 is an abundant number, since it is smaller than the sum of its proper divisors (2818681200).

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

991074960 is a wasteful number, since it uses less digits than its factorization.

991074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 991074960 is about 31481.3430463187. The cubic root of 991074960 is about 997.0160918146.

The spelling of 991074960 in words is "nine hundred ninety-one million, seventy-four thousand, nine hundred sixty".