1601000000 has 98 divisors (see below), whose sum is σ = 3973660074. Its totient is φ = 640000000.

The previous prime is 1600999997. The next prime is 1601000033. The reversal of 1601000000 is 1061.

It can be written as a sum of positive squares in 7 ways, for example, as 1428235264 + 172764736 = 37792^2 + 13144^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999200 + ... + 1000800.

Almost surely, 2^1601000000 is an apocalyptic number.

1601000000 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 1601000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986830037).

1601000000 is an abundant number, since it is smaller than the sum of its proper divisors (2372660074).

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

1601000000 is an frugal number, since it uses more digits than its factorization.

1601000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1601000000 is about 40012.4980474851. The cubic root of 1601000000 is about 1169.8507126834.

Adding to 1601000000 its reverse (1061), we get a palindrome (1601001061).

The spelling of 1601000000 in words is "one billion, six hundred one million", and thus it is an aban number.