1006603600 has 60 divisors (see below), whose sum is σ = 2423657376. Its totient is φ = 401760640.

The previous prime is 1006603589. The next prime is 1006603687. The reversal of 1006603600 is 63066001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198699 + ... + 203701.

Almost surely, 2^1006603600 is an apocalyptic number.

1006603600 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 1006603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211828688).

1006603600 is an abundant number, since it is smaller than the sum of its proper divisors (1417053776).

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

1006603600 is a wasteful number, since it uses less digits than its factorization.

1006603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1006603600 is about 31727.0168783641. The cubic root of 1006603600 is about 1002.1963724164.

Adding to 1006603600 its reverse (63066001), we get a palindrome (1069669601).

The spelling of 1006603600 in words is "one billion, six million, six hundred three thousand, six hundred".