1605882240 has 256 divisors, whose sum is σ = 5728320000. Its totient is φ = 425170944.

The previous prime is 1605882227. The next prime is 1605882263. The reversal of 1605882240 is 422885061.

1605882240 is a `hidden beast` number, since 1 + 605 + 8 + 8 + 2 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1605882195 and 1605882204.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3438487 + ... + 3438953.

It is an arithmetic number, because the mean of its divisors is an integer number (22376250).

Almost surely, 2^1605882240 is an apocalyptic number.

1605882240 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 1605882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864160000).

1605882240 is an abundant number, since it is smaller than the sum of its proper divisors (4122437760).

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

1605882240 is a wasteful number, since it uses less digits than its factorization.

1605882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1605882240 is about 40073.4605443553. The cubic root of 1605882240 is about 1171.0386568931.

The spelling of 1605882240 in words is "one billion, six hundred five million, eight hundred eighty-two thousand, two hundred forty".