968959530 has 384 divisors, whose sum is σ = 3432038400. Its totient is φ = 189889920.

The previous prime is 968959501. The next prime is 968959543. The reversal of 968959530 is 35959869.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 4344999 + ... + 4345221.

It is an arithmetic number, because the mean of its divisors is an integer number (8937600).

Almost surely, 2^968959530 is an apocalyptic number.

968959530 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 968959530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716019200).

968959530 is an abundant number, since it is smaller than the sum of its proper divisors (2463078870).

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

968959530 is a wasteful number, since it uses less digits than its factorization.

968959530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 968959530 is about 31128.1147839056. The cubic root of 968959530 is about 989.5442346564.

The spelling of 968959530 in words is "nine hundred sixty-eight million, nine hundred fifty-nine thousand, five hundred thirty".