1603066400 has 216 divisors, whose sum is σ = 4323098304. Its totient is φ = 580070400.

The previous prime is 1603066373. The next prime is 1603066411. The reversal of 1603066400 is 46603061.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1603066400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9599117 + ... + 9599283.

It is an arithmetic number, because the mean of its divisors is an integer number (20014344).

Almost surely, 2^1603066400 is an apocalyptic number.

1603066400 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 1603066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161549152).

1603066400 is an abundant number, since it is smaller than the sum of its proper divisors (2720031904).

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

1603066400 is a wasteful number, since it uses less digits than its factorization.

1603066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1603066400 is about 40038.3116527158. The cubic root of 1603066400 is about 1170.3538024660.

Adding to 1603066400 its reverse (46603061), we get a palindrome (1649669461).

The spelling of 1603066400 in words is "one billion, six hundred three million, sixty-six thousand, four hundred".