1601320800 has 144 divisors (see below), whose sum is σ = 5311066320. Its totient is φ = 418928640.

The previous prime is 1601320781. The next prime is 1601320823. The reversal of 1601320800 is 80231061.

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 23 ways as a sum of consecutive naturals, for example, 120906 + ... + 133494.

It is an arithmetic number, because the mean of its divisors is an integer number (36882405).

Almost surely, 2^1601320800 is an apocalyptic number.

1601320800 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 1601320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655533160).

1601320800 is an abundant number, since it is smaller than the sum of its proper divisors (3709745520).

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

1601320800 is a wasteful number, since it uses less digits than its factorization.

1601320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1601320800 is about 40016.5065941544. The cubic root of 1601320800 is about 1169.9288436527.

Adding to 1601320800 its reverse (80231061), we get a palindrome (1681551861).

The spelling of 1601320800 in words is "one billion, six hundred one million, three hundred twenty thousand, eight hundred".