1603201600 has 567 divisors, whose sum is σ = 5461890651. Its totient is φ = 461260800.

The previous prime is 1603201597. The next prime is 1603201603. The reversal of 1603201600 is 61023061.

The square root of 1603201600 is 40040.

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

It is an interprime number because it is at equal distance from previous prime (1603201597) and next prime (1603201603).

It can be written as a sum of positive squares in 4 ways, for example, as 413227584 + 1189974016 = 20328^2 + 34496^2 .

It is not an unprimeable number, because it can be changed into a prime (1603201603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123323194 + ... + 123323206.

Almost surely, 2^1603201600 is an apocalyptic number.

1603201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1603201600 is the 40040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1603201600

1603201600 is an abundant number, since it is smaller than the sum of its proper divisors (3858689051).

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

1603201600 is a wasteful number, since it uses less digits than its factorization.

1603201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 1603201600 is about 1170.3867034501.

Adding to 1603201600 its reverse (61023061), we get a palindrome (1664224661).

It can be divided in two parts, 1603 and 201600, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 1603201600 in words is "one billion, six hundred three million, two hundred one thousand, six hundred".