930614664 has 192 divisors, whose sum is σ = 2807136000. Its totient is φ = 256198656.

The previous prime is 930614647. The next prime is 930614683. The reversal of 930614664 is 466416039.

It is a super-3 number, since 3×930614664³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6245662 + ... + 6245810.

It is an arithmetic number, because the mean of its divisors is an integer number (14620500).

Almost surely, 2^930614664 is an apocalyptic number.

930614664 is a gapful number since it is divisible by the number (94) 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 930614664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403568000).

930614664 is an abundant number, since it is smaller than the sum of its proper divisors (1876521336).

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

930614664 is a wasteful number, since it uses less digits than its factorization.

930614664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 930614664 is about 30505.9775126122. The cubic root of 930614664 is about 976.3150045874.

The spelling of 930614664 in words is "nine hundred thirty million, six hundred fourteen thousand, six hundred sixty-four".