601984000 has 88 divisors (see below), whose sum is σ = 1502137728. Its totient is φ = 240742400.

The previous prime is 601983997. The next prime is 601984013. The reversal of 601984000 is 489106.

It is a self number, because there is not a number n which added to its sum of digits gives 601984000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125649 + ... + 130351.

Almost surely, 2^601984000 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 601984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751068864).

601984000 is an abundant number, since it is smaller than the sum of its proper divisors (900153728).

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

601984000 is an equidigital number, since it uses as much as digits as its factorization.

601984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 601984000 is about 24535.3622349457. The cubic root of 601984000 is about 844.3612927255.

The spelling of 601984000 in words is "six hundred one million, nine hundred eighty-four thousand".