1601709984 has 192 divisors, whose sum is σ = 5511905280. Its totient is φ = 442817280.

The previous prime is 1601709917. The next prime is 1601710031. The reversal of 1601709984 is 4899071061.

It is a happy number.

1601709984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183217 + ... + 191759.

It is an arithmetic number, because the mean of its divisors is an integer number (28707840).

Almost surely, 2^1601709984 is an apocalyptic number.

1601709984 is a gapful number since it is divisible by the number (14) 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 1601709984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755952640).

1601709984 is an abundant number, since it is smaller than the sum of its proper divisors (3910195296).

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

1601709984 is a wasteful number, since it uses less digits than its factorization.

1601709984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8600 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1601709984 is about 40021.3690920238. The cubic root of 1601709984 is about 1170.0236155654.

The spelling of 1601709984 in words is "one billion, six hundred one million, seven hundred nine thousand, nine hundred eighty-four".