962059968 has 168 divisors, whose sum is σ = 2838584112. Its totient is φ = 311427072.

The previous prime is 962059961. The next prime is 962059993. The reversal of 962059968 is 869950269.

962059968 is a `hidden beast` number, since 9 + 620 + 5 + 9 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×962059968² = 1851118764056322048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (962059961) 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 23 ways as a sum of consecutive naturals, for example, 3743296 + ... + 3743552.

It is an arithmetic number, because the mean of its divisors is an integer number (16896334).

Almost surely, 2^962059968 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 962059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419292056).

962059968 is an abundant number, since it is smaller than the sum of its proper divisors (1876524144).

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

962059968 is a wasteful number, since it uses less digits than its factorization.

962059968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 962059968 is about 31017.0915464361. The cubic root of 962059968 is about 987.1899253569.

The spelling of 962059968 in words is "nine hundred sixty-two million, fifty-nine thousand, nine hundred sixty-eight".