1601548416 has 256 divisors, whose sum is σ = 5215056000. Its totient is φ = 480743424.

The previous prime is 1601548411. The next prime is 1601548423. The reversal of 1601548416 is 6148451061.

1601548416 is a `hidden beast` number, since 1 + 601 + 5 + 4 + 8 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601548411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1931490 + ... + 1932318.

Almost surely, 2^1601548416 is an apocalyptic number.

1601548416 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 1601548416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607528000).

1601548416 is an abundant number, since it is smaller than the sum of its proper divisors (3613507584).

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

1601548416 is a wasteful number, since it uses less digits than its factorization.

1601548416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1601548416 is about 40019.3505194675. The cubic root of 1601548416 is about 1169.9842732929.

Adding to 1601548416 its reverse (6148451061), we get a palindrome (7749999477).

The spelling of 1601548416 in words is "one billion, six hundred one million, five hundred forty-eight thousand, four hundred sixteen".