1600129920 has 128 divisors (see below), whose sum is σ = 5117617440. Its totient is φ = 425263104.

The previous prime is 1600129901. The next prime is 1600129931. The reversal of 1600129920 is 299210061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645804 + ... + 648276.

Almost surely, 2^1600129920 is an apocalyptic number.

1600129920 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 1600129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558808720).

1600129920 is an abundant number, since it is smaller than the sum of its proper divisors (3517487520).

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

1600129920 is a wasteful number, since it uses less digits than its factorization.

1600129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1600129920 is about 40001.6239670341. The cubic root of 1600129920 is about 1169.6387517937.

Adding to 1600129920 its reverse (299210061), we get a palindrome (1899339981).

The spelling of 1600129920 in words is "one billion, six hundred million, one hundred twenty-nine thousand, nine hundred twenty".