1600480036 has 27 divisors (see below), whose sum is σ = 2846803953. Its totient is φ = 787318080.

The previous prime is 1600480031. The next prime is 1600480051. The reversal of 1600480036 is 6300840061.

The square root of 1600480036 is 40006.

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

It can be written as a sum of positive squares in only one way, i.e., 1203673636 + 396806400 = 34694^2 + 19920^2 .

It is a super-3 number, since 3×1600480036³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1600479986 and 1600480013.

It is not an unprimeable number, because it can be changed into a prime (1600480031) 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, 6640876 + ... + 6641116.

Almost surely, 2^1600480036 is an apocalyptic number.

1600480036 is the 40006-th square number.

It is an amenable number.

1600480036 is a deficient number, since it is larger than the sum of its proper divisors (1246323917).

1600480036 is an frugal number, since it uses more digits than its factorization.

1600480036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 1600480036 is about 1169.7240530709.

It can be divided in two parts, 1600 and 480036, that added together give a square (481636 = 694²).

The spelling of 1600480036 in words is "one billion, six hundred million, four hundred eighty thousand, thirty-six".