1605025200 has 120 divisors (see below), whose sum is σ = 5218429888. Its totient is φ = 421597440.

The previous prime is 1605025189. The next prime is 1605025223. The reversal of 1605025200 is 25205061.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1605025200² = 5152211785270080000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 70419 + ... + 90381.

Almost surely, 2^1605025200 is an apocalyptic number.

1605025200 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 1605025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609214944).

1605025200 is an abundant number, since it is smaller than the sum of its proper divisors (3613404688).

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

1605025200 is a wasteful number, since it uses less digits than its factorization.

1605025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20051 (or 20040 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1605025200 is about 40062.7657557488. The cubic root of 1605025200 is about 1170.8302967490.

The spelling of 1605025200 in words is "one billion, six hundred five million, twenty-five thousand, two hundred".