391608000 has 672 divisors, whose sum is σ = 1716511680. Its totient is φ = 87091200.

The previous prime is 391607999. The next prime is 391608011. The reversal of 391608000 is 806193.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10583982 + ... + 10584018.

Almost surely, 2^391608000 is an apocalyptic number.

391608000 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 391608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858255840).

391608000 is an abundant number, since it is smaller than the sum of its proper divisors (1324903680).

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

391608000 is a wasteful number, since it uses less digits than its factorization.

391608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

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

The square root of 391608000 is about 19789.0879021748. The cubic root of 391608000 is about 731.6171069275.

The spelling of 391608000 in words is "three hundred ninety-one million, six hundred eight thousand".