930006336 has 224 divisors, whose sum is σ = 2949488640. Its totient is φ = 253016064.

The previous prime is 930006331. The next prime is 930006347. The reversal of 930006336 is 633600039.

930006336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930006331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4170321 + ... + 4170543.

It is an arithmetic number, because the mean of its divisors is an integer number (13167360).

Almost surely, 2^930006336 is an apocalyptic number.

930006336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474744320).

930006336 is an abundant number, since it is smaller than the sum of its proper divisors (2019482304).

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

930006336 is a wasteful number, since it uses less digits than its factorization.

930006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 930006336 is about 30496.0052465893. The cubic root of 930006336 is about 976.1022243551.

The spelling of 930006336 in words is "nine hundred thirty million, six thousand, three hundred thirty-six".