1605663360 has 288 divisors, whose sum is σ = 6450923700. Its totient is φ = 366944256.

The previous prime is 1605663349. The next prime is 1605663391. The reversal of 1605663360 is 633665061.

It is a happy number.

1605663360 is a `hidden beast` number, since 1 + 6 + 0 + 566 + 33 + 60 = 666.

1605663360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1532252736 + 73410624 = 39144^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 279396 + ... + 285084.

Almost surely, 2^1605663360 is an apocalyptic number.

1605663360 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 1605663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225461850).

1605663360 is an abundant number, since it is smaller than the sum of its proper divisors (4845260340).

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

1605663360 is a wasteful number, since it uses less digits than its factorization.

1605663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1605663360 is about 40070.7294667816. The cubic root of 1605663360 is about 1170.9854507113.

The spelling of 1605663360 in words is "one billion, six hundred five million, six hundred sixty-three thousand, three hundred sixty".