1600641120 has 384 divisors, whose sum is σ = 5852528640. Its totient is φ = 364216320.

The previous prime is 1600641079. The next prime is 1600641131. The reversal of 1600641120 is 211460061.

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 63 ways as a sum of consecutive naturals, for example, 8380225 + ... + 8380415.

It is an arithmetic number, because the mean of its divisors is an integer number (15240960).

Almost surely, 2^1600641120 is an apocalyptic number.

1600641120 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 1600641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926264320).

1600641120 is an abundant number, since it is smaller than the sum of its proper divisors (4251887520).

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

1600641120 is a wasteful number, since it uses less digits than its factorization.

1600641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

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

The square root of 1600641120 is about 40008.0131973584. The cubic root of 1600641120 is about 1169.7632949450.

The spelling of 1600641120 in words is "one billion, six hundred million, six hundred forty-one thousand, one hundred twenty".