1600000032 has 96 divisors (see below), whose sum is σ = 4430764800. Its totient is φ = 504154368.

The previous prime is 1600000021. The next prime is 1600000069. The reversal of 1600000032 is 2300000061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1599999963 and 1600000017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347343 + ... + 1348529.

It is an arithmetic number, because the mean of its divisors is an integer number (46153800).

Almost surely, 2^1600000032 is an apocalyptic number.

1600000032 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 1600000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215382400).

1600000032 is an abundant number, since it is smaller than the sum of its proper divisors (2830764768).

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

1600000032 is a wasteful number, since it uses less digits than its factorization.

1600000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1600000032 is about 40000.0004000000. Note that the first 3 decimals coincide. The cubic root of 1600000032 is about 1169.6071030825.

Adding to 1600000032 its reverse (2300000061), we get a palindrome (3900000093).

It can be divided in two parts, 16000000 and 32, that multiplied together give a cube (512000000 = 800³).

The spelling of 1600000032 in words is "one billion, six hundred million, thirty-two", and thus it is an aban number.