1162008320 has 72 divisors (see below), whose sum is σ = 3036443760. Its totient is φ = 422543360.

The previous prime is 1162008301. The next prime is 1162008349. The reversal of 1162008320 is 238002611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27185 + ... + 55344.

It is an arithmetic number, because the mean of its divisors is an integer number (42172830).

Almost surely, 2^1162008320 is an apocalyptic number.

1162008320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1162008320 is an abundant number, since it is smaller than the sum of its proper divisors (1874435440).

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

1162008320 is an equidigital number, since it uses as much as digits as its factorization.

1162008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82561 (or 82547 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1162008320 is about 34088.2431345471. The cubic root of 1162008320 is about 1051.3235976304.

The spelling of 1162008320 in words is "one billion, one hundred sixty-two million, eight thousand, three hundred twenty".