1082395600 has 240 divisors, whose sum is σ = 3099801600. Its totient is φ = 358041600.

The previous prime is 1082395579. The next prime is 1082395621. The reversal of 1082395600 is 65932801.

It is an interprime number because it is at equal distance from previous prime (1082395579) and next prime (1082395621).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7264326 + ... + 7264474.

It is an arithmetic number, because the mean of its divisors is an integer number (12915840).

Almost surely, 2^1082395600 is an apocalyptic number.

1082395600 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 1082395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549900800).

1082395600 is an abundant number, since it is smaller than the sum of its proper divisors (2017406000).

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

1082395600 is a wasteful number, since it uses less digits than its factorization.

1082395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1082395600 is about 32899.7811542873. The cubic root of 1082395600 is about 1026.7436037993.

The spelling of 1082395600 in words is "one billion, eighty-two million, three hundred ninety-five thousand, six hundred".