1605873942 has 48 divisors (see below), whose sum is σ = 3525303600. Its totient is φ = 528264000.

The previous prime is 1605873917. The next prime is 1605873943. The reversal of 1605873942 is 2493785061.

1605873942 is a `hidden beast` number, since 1 + 60 + 587 + 3 + 9 + 4 + 2 = 666.

1605873942 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1605873942² = 5157662235189238728, which contains 22 as substring.

1605873942 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605873943) 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 23 ways as a sum of consecutive naturals, for example, 633217 + ... + 635747.

It is an arithmetic number, because the mean of its divisors is an integer number (73443825).

It is a 1-persistent number, because it is pandigital, but 2⋅1605873942 = 3211747884 is not.

Almost surely, 2^1605873942 is an apocalyptic number.

1605873942 is an abundant number, since it is smaller than the sum of its proper divisors (1919429658).

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

1605873942 is a wasteful number, since it uses less digits than its factorization.

1605873942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1605873942 is about 40073.3570093647. The cubic root of 1605873942 is about 1171.0366398719.

It can be divided in two parts, 16058 and 73942, that added together give a square (90000 = 300²).

The spelling of 1605873942 in words is "one billion, six hundred five million, eight hundred seventy-three thousand, nine hundred forty-two".