830964384 has 72 divisors (see below), whose sum is σ = 2420724852. Its totient is φ = 270228480.

The previous prime is 830964367. The next prime is 830964439. The reversal of 830964384 is 483469038.

It can be written as a sum of positive squares in 2 ways, for example, as 530288784 + 300675600 = 23028^2 + 17340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23379 + ... + 46994.

Almost surely, 2^830964384 is an apocalyptic number.

It is an amenable number.

830964384 is an abundant number, since it is smaller than the sum of its proper divisors (1589760468).

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

830964384 is a wasteful number, since it uses less digits than its factorization.

830964384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70430 (or 70419 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 830964384 is about 28826.4528515043. The cubic root of 830964384 is about 940.1434759116.

The spelling of 830964384 in words is "eight hundred thirty million, nine hundred sixty-four thousand, three hundred eighty-four".