1600889832 has 112 divisors (see below), whose sum is σ = 4519970340. Its totient is φ = 531318528.

The previous prime is 1600889819. The next prime is 1600889837. The reversal of 1600889832 is 2389880061.

1600889832 is a `hidden beast` number, since 1 + 600 + 8 + 8 + 9 + 8 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1558196676 + 42693156 = 39474^2 + 6534^2 .

It is a super-3 number, since 3×1600889832³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1600889837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1824978 + ... + 1825854.

Almost surely, 2^1600889832 is an apocalyptic number.

1600889832 is a gapful number since it is divisible by the number (12) 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 1600889832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259985170).

1600889832 is an abundant number, since it is smaller than the sum of its proper divisors (2919080508).

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

1600889832 is an equidigital number, since it uses as much as digits as its factorization.

1600889832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1600889832 is about 40011.1213539436. The cubic root of 1600889832 is about 1169.8238788151.

The spelling of 1600889832 in words is "one billion, six hundred million, eight hundred eighty-nine thousand, eight hundred thirty-two".