1605338000 has 120 divisors (see below), whose sum is σ = 4515731064. Its totient is φ = 550368000.

The previous prime is 1605337991. The next prime is 1605338027. The reversal of 1605338000 is 8335061.

It can be written as a sum of positive squares in 4 ways, for example, as 511845376 + 1093492624 = 22624^2 + 33068^2 .

It is a super-2 number, since 2×1605338000² = 5154220188488000000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 89810 + ... + 106190.

Almost surely, 2^1605338000 is an apocalyptic number.

1605338000 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 1605338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257865532).

1605338000 is an abundant number, since it is smaller than the sum of its proper divisors (2910393064).

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

1605338000 is a wasteful number, since it uses less digits than its factorization.

1605338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16418 (or 16395 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1605338000 is about 40066.6694398224. The cubic root of 1605338000 is about 1170.9063520300.

The spelling of 1605338000 in words is "one billion, six hundred five million, three hundred thirty-eight thousand".