930631680 has 624 divisors, whose sum is σ = 3864055104. Its totient is φ = 212336640.

The previous prime is 930631679. The next prime is 930631699. The reversal of 930631680 is 86136039.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54743032 + ... + 54743048.

It is an arithmetic number, because the mean of its divisors is an integer number (6192396).

Almost surely, 2^930631680 is an apocalyptic number.

930631680 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 930631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932027552).

930631680 is an abundant number, since it is smaller than the sum of its proper divisors (2933423424).

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

930631680 is a wasteful number, since it uses less digits than its factorization.

930631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 930631680 is about 30506.2564074978. The cubic root of 930631680 is about 976.3209550900.

The spelling of 930631680 in words is "nine hundred thirty million, six hundred thirty-one thousand, six hundred eighty".