1333923968 has 64 divisors (see below), whose sum is σ = 2890543320. Its totient is φ = 609484800.

The previous prime is 1333923961. The next prime is 1333923973. The reversal of 1333923968 is 8693293331.

It can be written as a sum of positive squares in 4 ways, for example, as 1330206784 + 3717184 = 36472^2 + 1928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1333923961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164096 + ... + 172032.

Almost surely, 2^1333923968 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 1333923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445271660).

1333923968 is an abundant number, since it is smaller than the sum of its proper divisors (1556619352).

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

1333923968 is a wasteful number, since it uses less digits than its factorization.

1333923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065 (or 8053 counting only the distinct ones).

The product of its digits is 629856, while the sum is 47.

The square root of 1333923968 is about 36522.9238698109. The cubic root of 1333923968 is about 1100.8049116984.

The spelling of 1333923968 in words is "one billion, three hundred thirty-three million, nine hundred twenty-three thousand, nine hundred sixty-eight".