968029920 has 384 divisors, whose sum is σ = 3982970880. Its totient is φ = 216483840.

The previous prime is 968029877. The next prime is 968029921. The reversal of 968029920 is 29920869.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968029921) 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, 616977 + ... + 618543.

It is an arithmetic number, because the mean of its divisors is an integer number (10372320).

Almost surely, 2^968029920 is an apocalyptic number.

968029920 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 968029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991485440).

968029920 is an abundant number, since it is smaller than the sum of its proper divisors (3014940960).

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

968029920 is a wasteful number, since it uses less digits than its factorization.

968029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 968029920 is about 31113.1792011038. The cubic root of 968029920 is about 989.2276804825.

The spelling of 968029920 in words is "nine hundred sixty-eight million, twenty-nine thousand, nine hundred twenty".