1082361000 has 384 divisors, whose sum is σ = 4054752000. Its totient is φ = 239500800.

The previous prime is 1082360989. The next prime is 1082361013. The reversal of 1082361000 is 1632801.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5438901 + ... + 5439099.

It is an arithmetic number, because the mean of its divisors is an integer number (10559250).

Almost surely, 2^1082361000 is an apocalyptic number.

1082361000 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 1082361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027376000).

1082361000 is an abundant number, since it is smaller than the sum of its proper divisors (2972391000).

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

1082361000 is a wasteful number, since it uses less digits than its factorization.

1082361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1082361000 is about 32899.2553107209. The cubic root of 1082361000 is about 1026.7326633424.

Adding to 1082361000 its reverse (1632801), we get a palindrome (1083993801).

The spelling of 1082361000 in words is "one billion, eighty-two million, three hundred sixty-one thousand".