968958144 has 252 divisors, whose sum is σ = 3525624648. Its totient is φ = 251596800.

The previous prime is 968958113. The next prime is 968958167. The reversal of 968958144 is 441859869.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308904 + ... + 312024.

It is an arithmetic number, because the mean of its divisors is an integer number (13990574).

Almost surely, 2^968958144 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 968958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762812324).

968958144 is an abundant number, since it is smaller than the sum of its proper divisors (2556666504).

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

968958144 is a wasteful number, since it uses less digits than its factorization.

968958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3144 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 968958144 is about 31128.0925210653. The cubic root of 968958144 is about 989.5437628414.

The spelling of 968958144 in words is "nine hundred sixty-eight million, nine hundred fifty-eight thousand, one hundred forty-four".