1162016000 has 72 divisors (see below), whose sum is σ = 2894806824. Its totient is φ = 464793600.

The previous prime is 1162015999. The next prime is 1162016017. The reversal of 1162016000 is 6102611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 195552256 + 966463744 = 13984^2 + 31088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1162016000.

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, 13844 + ... + 50156.

Almost surely, 2^1162016000 is an apocalyptic number.

1162016000 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 1162016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447403412).

1162016000 is an abundant number, since it is smaller than the sum of its proper divisors (1732790824).

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

1162016000 is an frugal number, since it uses more digits than its factorization.

1162016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36344 (or 36320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1162016000 is about 34088.3557831703. The cubic root of 1162016000 is about 1051.3259137777.

Adding to 1162016000 its reverse (6102611), we get a palindrome (1168118611).

The spelling of 1162016000 in words is "one billion, one hundred sixty-two million, sixteen thousand".