1082800152 has 96 divisors (see below), whose sum is σ = 3356121600. Its totient is φ = 308947392.

The previous prime is 1082800151. The next prime is 1082800171. The reversal of 1082800152 is 2510082801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082800151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667999 + ... + 669617.

It is an arithmetic number, because the mean of its divisors is an integer number (34959600).

Almost surely, 2^1082800152 is an apocalyptic number.

1082800152 is a gapful number since it is divisible by the number (12) 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 1082800152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678060800).

1082800152 is an abundant number, since it is smaller than the sum of its proper divisors (2273321448).

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

1082800152 is a wasteful number, since it uses less digits than its factorization.

1082800152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1082800152 is about 32905.9288274925. The cubic root of 1082800152 is about 1026.8715051076.

Adding to 1082800152 its reverse (2510082801), we get a palindrome (3592882953).

The spelling of 1082800152 in words is "one billion, eighty-two million, eight hundred thousand, one hundred fifty-two".