958873968 has 120 divisors (see below), whose sum is σ = 2918584032. Its totient is φ = 292114944.

The previous prime is 958873921. The next prime is 958873997. The reversal of 958873968 is 869378859.

Its product of digits (26127360) is a multiple of the sum of its prime factors (5103).

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 23 ways as a sum of consecutive naturals, for example, 190330 + ... + 195302.

Almost surely, 2^958873968 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 958873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459292016).

958873968 is an abundant number, since it is smaller than the sum of its proper divisors (1959710064).

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

958873968 is a wasteful number, since it uses less digits than its factorization.

958873968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5094 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 958873968 is about 30965.6901747725. The cubic root of 958873968 is about 986.0989797049.

The spelling of 958873968 in words is "nine hundred fifty-eight million, eight hundred seventy-three thousand, nine hundred sixty-eight".