830033568 has 672 divisors, whose sum is σ = 3331673856. Its totient is φ = 197074944.

The previous prime is 830033557. The next prime is 830033573. The reversal of 830033568 is 865330038.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×830033568³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36088405 + ... + 36088427.

It is an arithmetic number, because the mean of its divisors is an integer number (4957848).

Almost surely, 2^830033568 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 830033568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665836928).

830033568 is an abundant number, since it is smaller than the sum of its proper divisors (2501640288).

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

830033568 is a wasteful number, since it uses less digits than its factorization.

830033568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 830033568 is about 28810.3031570305. The cubic root of 830033568 is about 939.7923066108.

The spelling of 830033568 in words is "eight hundred thirty million, thirty-three thousand, five hundred sixty-eight".