989952096 has 144 divisors (see below), whose sum is σ = 3036262320. Its totient is φ = 281594880.

The previous prime is 989952059. The next prime is 989952097. The reversal of 989952096 is 690259989.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989952097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1829586 + ... + 1830126.

It is an arithmetic number, because the mean of its divisors is an integer number (21085155).

Almost surely, 2^989952096 is an apocalyptic number.

989952096 is a gapful number since it is divisible by the number (96) 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 989952096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518131160).

989952096 is an abundant number, since it is smaller than the sum of its proper divisors (2046310224).

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

989952096 is a wasteful number, since it uses less digits than its factorization.

989952096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The square root of 989952096 is about 31463.5041913643. The cubic root of 989952096 is about 996.6394178049.

The spelling of 989952096 in words is "nine hundred eighty-nine million, nine hundred fifty-two thousand, ninety-six".