1600320016 has 45 divisors (see below), whose sum is σ = 3166790151. Its totient is φ = 783438336.

The previous prime is 1600319971. The next prime is 1600320017. The reversal of 1600320016 is 6100230061.

The square root of 1600320016 is 40004.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 1561830400 = 6204^2 + 39520^2 .

It is a super-2 number, since 2×1600320016² = 5122048307220480512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1600319975 and 1600320002.

It is not an unprimeable number, because it can be changed into a prime (1600320017) 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, 11681100 + ... + 11681236.

Almost surely, 2^1600320016 is an apocalyptic number.

1600320016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1600320016 is the 40004-th square number.

It is an amenable number.

1600320016 is a deficient number, since it is larger than the sum of its proper divisors (1566470135).

1600320016 is an frugal number, since it uses more digits than its factorization.

1600320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 1600320016 is about 1169.6850677920.

Adding to 1600320016 its reverse (6100230061), we get a palindrome (7700550077).

The spelling of 1600320016 in words is "one billion, six hundred million, three hundred twenty thousand, sixteen".