1601083920 has 80 divisors (see below), whose sum is σ = 5002536960. Its totient is φ = 423585792.

The previous prime is 1601083903. The next prime is 1601083921. The reversal of 1601083920 is 293801061.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1601083921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4216 + ... + 56744.

It is an arithmetic number, because the mean of its divisors is an integer number (62531712).

Almost surely, 2^1601083920 is an apocalyptic number.

1601083920 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 1601083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501268480).

1601083920 is an abundant number, since it is smaller than the sum of its proper divisors (3401453040).

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

1601083920 is a wasteful number, since it uses less digits than its factorization.

1601083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52672 (or 52666 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1601083920 is about 40013.5467060844. The cubic root of 1601083920 is about 1169.8711524412.

Adding to 1601083920 its reverse (293801061), we get a palindrome (1894884981).

The spelling of 1601083920 in words is "one billion, six hundred one million, eighty-three thousand, nine hundred twenty".