1601233920 has 704 divisors, whose sum is σ = 6767873280. Its totient is φ = 358318080.

The previous prime is 1601233919. The next prime is 1601233937. The reversal of 1601233920 is 293321061.

1601233920 is a `hidden beast` number, since 1 + 601 + 2 + 3 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 123171834 + ... + 123171846.

Almost surely, 2^1601233920 is an apocalyptic number.

1601233920 is a gapful number since it is divisible by the number (10) 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 1601233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383936640).

1601233920 is an abundant number, since it is smaller than the sum of its proper divisors (5166639360).

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

1601233920 is an equidigital number, since it uses as much as digits as its factorization.

1601233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1601233920 is about 40015.4210273989. The cubic root of 1601233920 is about 1169.9076850241.

Adding to 1601233920 its reverse (293321061), we get a palindrome (1894554981).

The spelling of 1601233920 in words is "one billion, six hundred one million, two hundred thirty-three thousand, nine hundred twenty".