930729960 has 256 divisors, whose sum is σ = 3281472000. Its totient is φ = 234178560.

The previous prime is 930729959. The next prime is 930729997. The reversal of 930729960 is 69927039.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2210550 + ... + 2210970.

It is an arithmetic number, because the mean of its divisors is an integer number (12818250).

Almost surely, 2^930729960 is an apocalyptic number.

930729960 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 930729960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640736000).

930729960 is an abundant number, since it is smaller than the sum of its proper divisors (2350742040).

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

930729960 is a wasteful number, since it uses less digits than its factorization.

930729960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 930729960 is about 30507.8671820893. The cubic root of 930729960 is about 976.3553222293.

The spelling of 930729960 in words is "nine hundred thirty million, seven hundred twenty-nine thousand, nine hundred sixty".