1601600000 has 480 divisors, whose sum is σ = 5370406272. Its totient is φ = 460800000.

The previous prime is 1601599999. The next prime is 1601600047. The reversal of 1601600000 is 61061.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123199994 + ... + 123200006.

Almost surely, 2^1601600000 is an apocalyptic number.

1601600000 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 1601600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685203136).

1601600000 is an abundant number, since it is smaller than the sum of its proper divisors (3768806272).

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

1601600000 is an frugal number, since it uses more digits than its factorization.

1601600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1601600000 is about 40019.9950024984. The cubic root of 1601600000 is about 1169.9968344327.

Adding to 1601600000 its reverse (61061), we get a palindrome (1601661061).

It can be divided in two parts, 160 and 1600000, that multiplied together give a square (256000000 = 16000²).

The spelling of 1601600000 in words is "one billion, six hundred one million, six hundred thousand".