1606400000 has 144 divisors (see below), whose sum is σ = 4030757640. Its totient is φ = 640000000.

The previous prime is 1606399969. The next prime is 1606400027. The reversal of 1606400000 is 46061.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6399875 + ... + 6400125.

Almost surely, 2^1606400000 is an apocalyptic number.

1606400000 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 1606400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015378820).

1606400000 is an abundant number, since it is smaller than the sum of its proper divisors (2424357640).

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

1606400000 is an frugal number, since it uses more digits than its factorization.

1606400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1606400000 is about 40079.9201596011. The cubic root of 1606400000 is about 1171.1644967191.

Adding to 1606400000 its reverse (46061), we get a palindrome (1606446061).

It can be divided in two parts, 160 and 6400000, that multiplied together give a square (1024000000 = 32000²).

The spelling of 1606400000 in words is "one billion, six hundred six million, four hundred thousand".