1605871872 has 144 divisors (see below), whose sum is σ = 5180804160. Its totient is φ = 486604800.

The previous prime is 1605871859. The next prime is 1605871873. The reversal of 1605871872 is 2781785061.

It is a happy number.

1605871872 is a `hidden beast` number, since 1 + 60 + 587 + 1 + 8 + 7 + 2 = 666.

1605871872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1605871873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65472 + ... + 86592.

Almost surely, 2^1605871872 is an apocalyptic number.

1605871872 is a gapful number since it is divisible by the number (12) 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 1605871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590402080).

1605871872 is an abundant number, since it is smaller than the sum of its proper divisors (3574932288).

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

1605871872 is a wasteful number, since it uses less digits than its factorization.

1605871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21157 (or 21137 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1605871872 is about 40073.3311817223. The cubic root of 1605871872 is about 1171.0361367094.

The spelling of 1605871872 in words is "one billion, six hundred five million, eight hundred seventy-one thousand, eight hundred seventy-two".