1163605120 has 64 divisors (see below), whose sum is σ = 2945403000. Its totient is φ = 438059008.

The previous prime is 1163605067. The next prime is 1163605129. The reversal of 1163605120 is 215063611.

It can be written as a sum of positive squares in 4 ways, for example, as 1066936896 + 96668224 = 32664^2 + 9832^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1163605129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42595 + ... + 64354.

Almost surely, 2^1163605120 is an apocalyptic number.

1163605120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1163605120 is an abundant number, since it is smaller than the sum of its proper divisors (1781797880).

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

1163605120 is a wasteful number, since it uses less digits than its factorization.

1163605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106985 (or 106973 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1163605120 is about 34111.6566586849. The cubic root of 1163605120 is about 1051.8049439090.

Adding to 1163605120 its reverse (215063611), we get a palindrome (1378668731).

The spelling of 1163605120 in words is "one billion, one hundred sixty-three million, six hundred five thousand, one hundred twenty".