1601032416 has 192 divisors, whose sum is σ = 4590432000. Its totient is φ = 486936576.

The previous prime is 1601032387. The next prime is 1601032421. The reversal of 1601032416 is 6142301061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10745110 + ... + 10745258.

It is an arithmetic number, because the mean of its divisors is an integer number (23908500).

Almost surely, 2^1601032416 is an apocalyptic number.

1601032416 is a gapful number since it is divisible by the number (16) 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 1601032416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295216000).

1601032416 is an abundant number, since it is smaller than the sum of its proper divisors (2989399584).

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

1601032416 is a wasteful number, since it uses less digits than its factorization.

1601032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1601032416 is about 40012.9031188690. The cubic root of 1601032416 is about 1169.8586080873.

Adding to 1601032416 its reverse (6142301061), we get a palindrome (7743333477).

The spelling of 1601032416 in words is "one billion, six hundred one million, thirty-two thousand, four hundred sixteen".