930082320 has 120 divisors (see below), whose sum is σ = 3208037976. Its totient is φ = 241311744.

The previous prime is 930082301. The next prime is 930082327. The reversal of 930082320 is 23280039.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 683717904 = 15696^2 + 26148^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (930082327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9184 + ... + 44096.

Almost surely, 2^930082320 is an apocalyptic number.

930082320 is a gapful number since it is divisible by the number (90) 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 930082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604018988).

930082320 is an abundant number, since it is smaller than the sum of its proper divisors (2277955656).

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

930082320 is a wasteful number, since it uses less digits than its factorization.

930082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34969 (or 34960 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 930082320 is about 30497.2510236579. The cubic root of 930082320 is about 976.1288070169.

The spelling of 930082320 in words is "nine hundred thirty million, eighty-two thousand, three hundred twenty".