966333384 has 24 divisors (see below), whose sum is σ = 2617153110. Its totient is φ = 322111104.

The previous prime is 966333377. The next prime is 966333413. The reversal of 966333384 is 483333669.

966333384 is a `hidden beast` number, since 9 + 6 + 633 + 3 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 708730884 + 257602500 = 26622^2 + 16050^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6710577 + ... + 6710720.

Almost surely, 2^966333384 is an apocalyptic number.

It is an amenable number.

966333384 is an abundant number, since it is smaller than the sum of its proper divisors (1650819726).

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

966333384 is a wasteful number, since it uses less digits than its factorization.

966333384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421309 (or 13421302 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 966333384 is about 31085.9033003707. The cubic root of 966333384 is about 988.6494470644.

The spelling of 966333384 in words is "nine hundred sixty-six million, three hundred thirty-three thousand, three hundred eighty-four".