1601841920 has 288 divisors, whose sum is σ = 4646584320. Its totient is φ = 517570560.

The previous prime is 1601841821. The next prime is 1601841929. The reversal of 1601841920 is 291481061.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1601841929) 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, 20276441 + ... + 20276519.

Almost surely, 2^1601841920 is an apocalyptic number.

1601841920 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 1601841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323292160).

1601841920 is an abundant number, since it is smaller than the sum of its proper divisors (3044742400).

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

1601841920 is an equidigital number, since it uses as much as digits as its factorization.

1601841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 1601841920 is about 40023.0173775042. The cubic root of 1601841920 is about 1170.0557403984.

The spelling of 1601841920 in words is "one billion, six hundred one million, eight hundred forty-one thousand, nine hundred twenty".