1605873040 has 80 divisors (see below), whose sum is σ = 3964889088. Its totient is φ = 602789888.

The previous prime is 1605873011. The next prime is 1605873043. The reversal of 1605873040 is 403785061.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1605872987 and 1605873005.

It is not an unprimeable number, because it can be changed into a prime (1605873043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 519339 + ... + 522421.

Almost surely, 2^1605873040 is an apocalyptic number.

1605873040 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 1605873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982444544).

1605873040 is an abundant number, since it is smaller than the sum of its proper divisors (2359016048).

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

1605873040 is a wasteful number, since it uses less digits than its factorization.

1605873040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1605873040 is about 40073.3457550028. The cubic root of 1605873040 is about 1171.0364206195.

It can be divided in two parts, 16058 and 73040, that added together give a palindrome (89098).

The spelling of 1605873040 in words is "one billion, six hundred five million, eight hundred seventy-three thousand, forty".