1600000000 has 117 divisors (see below), whose sum is σ = 3999509671. Its totient is φ = 640000000.

The previous prime is 1599999983. The next prime is 1600000009. The reversal of 1600000000 is 61.

The square root of 1600000000 is 40000.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1137577984 + 462422016 = 33728^2 + 21504^2 .

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1600000009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 319999998 + ... + 320000002.

Almost surely, 2^1600000000 is an apocalyptic number.

1600000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1600000000 is the 40000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600000000

1600000000 is an abundant number, since it is smaller than the sum of its proper divisors (2399509671).

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

1600000000 is an frugal number, since it uses more digits than its factorization.

1600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The cubic root of 1600000000 is about 1169.6070952851.

Adding to 1600000000 its reverse (61), we get a palindrome (1600000061).

The spelling of 1600000000 in words is "one billion, six hundred million", and thus it is an aban number.