1082241000 has 320 divisors, whose sum is σ = 3914127360. Its totient is φ = 278640000.

The previous prime is 1082240993. The next prime is 1082241019. The reversal of 1082241000 is 1422801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2510785 + ... + 2511215.

It is an arithmetic number, because the mean of its divisors is an integer number (12231648).

Almost surely, 2^1082241000 is an apocalyptic number.

1082241000 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 1082241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957063680).

1082241000 is an abundant number, since it is smaller than the sum of its proper divisors (2831886360).

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

1082241000 is a wasteful number, since it uses less digits than its factorization.

1082241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1082241000 is about 32897.4315106818. The cubic root of 1082241000 is about 1026.6947177546.

Adding to 1082241000 its reverse (1422801), we get a palindrome (1083663801).

The spelling of 1082241000 in words is "one billion, eighty-two million, two hundred forty-one thousand".