968578884 has 405 divisors, whose sum is σ = 3366156717. Its totient is φ = 242004672.

The previous prime is 968578847. The next prime is 968578889. The reversal of 968578884 is 488875869.

The square root of 968578884 is 31122.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 143280900 + 825297984 = 11970^2 + 28728^2 .

It is a super-3 number, since 3×968578884³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (968578889) 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 134 ways as a sum of consecutive naturals, for example, 50977827 + ... + 50977845.

Almost surely, 2^968578884 is an apocalyptic number.

968578884 is the 31122-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968578884

968578884 is an abundant number, since it is smaller than the sum of its proper divisors (2397577833).

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

968578884 is a wasteful number, since it uses less digits than its factorization.

968578884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The cubic root of 968578884 is about 989.4146401869.

The spelling of 968578884 in words is "nine hundred sixty-eight million, five hundred seventy-eight thousand, eight hundred eighty-four".