968533956 has 192 divisors, whose sum is σ = 2861913600. Its totient is φ = 281014272.

The previous prime is 968533921. The next prime is 968533957. The reversal of 968533956 is 659335869.

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

It is not an unprimeable number, because it can be changed into a prime (968533957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2873820 + ... + 2874156.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^968533956 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 968533956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430956800).

968533956 is an abundant number, since it is smaller than the sum of its proper divisors (1893379644).

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

968533956 is a wasteful number, since it uses less digits than its factorization.

968533956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 968533956 is about 31121.2781871182. The cubic root of 968533956 is about 989.3993417915.

The spelling of 968533956 in words is "nine hundred sixty-eight million, five hundred thirty-three thousand, nine hundred fifty-six".