930973680 has 360 divisors, whose sum is σ = 3872707488. Its totient is φ = 196245504.

The previous prime is 930973649. The next prime is 930973709. The reversal of 930973680 is 86379039.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851214 + ... + 852306.

Almost surely, 2^930973680 is an apocalyptic number.

930973680 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 930973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936353744).

930973680 is an abundant number, since it is smaller than the sum of its proper divisors (2941733808).

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

930973680 is a wasteful number, since it uses less digits than its factorization.

930973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 930973680 is about 30511.8613001567. The cubic root of 930973680 is about 976.4405372620.

The spelling of 930973680 in words is "nine hundred thirty million, nine hundred seventy-three thousand, six hundred eighty".