1605382740 has 240 divisors, whose sum is σ = 5600770560. Its totient is φ = 382268160.

The previous prime is 1605382733. The next prime is 1605382759. The reversal of 1605382740 is 472835061.

1605382740 is a `hidden beast` number, since 1 + 60 + 538 + 27 + 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 = 1605382695 and 1605382704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 651631 + ... + 654089.

It is an arithmetic number, because the mean of its divisors is an integer number (23336544).

Almost surely, 2^1605382740 is an apocalyptic number.

1605382740 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 1605382740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800385280).

1605382740 is an abundant number, since it is smaller than the sum of its proper divisors (3995387820).

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

1605382740 is a wasteful number, since it uses less digits than its factorization.

1605382740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1605382740 is about 40067.2277553614. The cubic root of 1605382740 is about 1170.9172294618.

The spelling of 1605382740 in words is "one billion, six hundred five million, three hundred eighty-two thousand, seven hundred forty".