1596165120 has 528 divisors, whose sum is σ = 6253797888. Its totient is φ = 373063680.

The previous prime is 1596165113. The next prime is 1596165127. The reversal of 1596165120 is 215616951.

1596165120 is a `hidden beast` number, since 1 + 596 + 1 + 65 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1596165113) and next prime (1596165127).

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1596165120² = 5095486180609228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1596165127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23823327 + ... + 23823393.

Almost surely, 2^1596165120 is an apocalyptic number.

1596165120 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 1596165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126898944).

1596165120 is an abundant number, since it is smaller than the sum of its proper divisors (4657632768).

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

1596165120 is a wasteful number, since it uses less digits than its factorization.

1596165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1596165120 is about 39952.0352422752. The cubic root of 1596165120 is about 1168.6719096404.

The spelling of 1596165120 in words is "one billion, five hundred ninety-six million, one hundred sixty-five thousand, one hundred twenty".