1605036160 has 384 divisors, whose sum is σ = 5000970240. Its totient is φ = 487710720.

The previous prime is 1605036157. The next prime is 1605036179. The reversal of 1605036160 is 616305061.

It is a super-2 number, since 2×1605036160² = 5152282149815091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12638017 + ... + 12638143.

It is an arithmetic number, because the mean of its divisors is an integer number (13023360).

Almost surely, 2^1605036160 is an apocalyptic number.

1605036160 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 1605036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500485120).

1605036160 is an abundant number, since it is smaller than the sum of its proper divisors (3395934080).

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

1605036160 is a wasteful number, since it uses less digits than its factorization.

1605036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1605036160 is about 40062.9025408794. The cubic root of 1605036160 is about 1170.8329617686.

The spelling of 1605036160 in words is "one billion, six hundred five million, thirty-six thousand, one hundred sixty".