391616000 has 160 divisors (see below), whose sum is σ = 1014979680. Its totient is φ = 150528000.

The previous prime is 391615999. The next prime is 391616003. The reversal of 391616000 is 616193.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391616003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1855895 + ... + 1856105.

It is an arithmetic number, because the mean of its divisors is an integer number (6343623).

Almost surely, 2^391616000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507489840).

391616000 is an abundant number, since it is smaller than the sum of its proper divisors (623363680).

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

391616000 is an equidigital number, since it uses as much as digits as its factorization.

391616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 391616000 is about 19789.2900327425. The cubic root of 391616000 is about 731.6220888626.

The spelling of 391616000 in words is "three hundred ninety-one million, six hundred sixteen thousand".