1608363120 has 160 divisors (see below), whose sum is σ = 6136607232. Its totient is φ = 339342336.

The previous prime is 1608363109. The next prime is 1608363121. The reversal of 1608363120 is 213638061.

It is a super-2 number, since 2×1608363120² = 5173663851552268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608363121) 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 31 ways as a sum of consecutive naturals, for example, 14982 + ... + 58661.

Almost surely, 2^1608363120 is an apocalyptic number.

1608363120 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 1608363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068303616).

1608363120 is an abundant number, since it is smaller than the sum of its proper divisors (4528244112).

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

1608363120 is a wasteful number, since it uses less digits than its factorization.

1608363120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73679 (or 73673 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1608363120 is about 40104.4027508203. The cubic root of 1608363120 is about 1171.6413809571.

The spelling of 1608363120 in words is "one billion, six hundred eight million, three hundred sixty-three thousand, one hundred twenty".