391680000 has 390 divisors, whose sum is σ = 1496938014. Its totient is φ = 98304000.

The previous prime is 391679941. The next prime is 391680007. The reversal of 391680000 is 86193.

It can be written as a sum of positive squares in 5 ways, for example, as 99680256 + 291999744 = 9984^2 + 17088^2 .

It is not an unprimeable number, because it can be changed into a prime (391680007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23039992 + ... + 23040008.

Almost surely, 2^391680000 is an apocalyptic number.

391680000 is a gapful number since it is divisible by the number (30) 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 391680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748469007).

391680000 is an abundant number, since it is smaller than the sum of its proper divisors (1105258014).

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

391680000 is an equidigital number, since it uses as much as digits as its factorization.

391680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 391680000 is about 19790.9070029648. The cubic root of 391680000 is about 731.6619419017.

The spelling of 391680000 in words is "three hundred ninety-one million, six hundred eighty thousand".