968413152 has 96 divisors (see below), whose sum is σ = 2914313472. Its totient is φ = 275825664.

The previous prime is 968413151. The next prime is 968413163. The reversal of 968413152 is 251314869.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 968413152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968413151) 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 15 ways as a sum of consecutive naturals, for example, 231108 + ... + 235260.

It is an arithmetic number, because the mean of its divisors is an integer number (30357432).

Almost surely, 2^968413152 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 968413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457156736).

968413152 is an abundant number, since it is smaller than the sum of its proper divisors (1945900320).

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

968413152 is a wasteful number, since it uses less digits than its factorization.

968413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4512 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 968413152 is about 31119.3372680075. The cubic root of 968413152 is about 989.3582045768.

The spelling of 968413152 in words is "nine hundred sixty-eight million, four hundred thirteen thousand, one hundred fifty-two".