968952384 has 63 divisors (see below), whose sum is σ = 2779470057. Its totient is φ = 322735104.

The previous prime is 968952323. The next prime is 968952401. The reversal of 968952384 is 483259869.

The square root of 968952384 is 31128.

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., 965966400 + 2985984 = 31080^2 + 1728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 968952384.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 746424 + ... + 747720.

Almost surely, 2^968952384 is an apocalyptic number.

968952384 is the 31128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968952384

968952384 is an abundant number, since it is smaller than the sum of its proper divisors (1810517673).

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

968952384 is an equidigital number, since it uses as much as digits as its factorization.

968952384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 1302 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The cubic root of 968952384 is about 989.5418020469.

The spelling of 968952384 in words is "nine hundred sixty-eight million, nine hundred fifty-two thousand, three hundred eighty-four".