1082591400 has 192 divisors, whose sum is σ = 3722529600. Its totient is φ = 258048000.

The previous prime is 1082591359. The next prime is 1082591407. The reversal of 1082591400 is 41952801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1082591407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401256 + ... + 403944.

It is an arithmetic number, because the mean of its divisors is an integer number (19388175).

Almost surely, 2^1082591400 is an apocalyptic number.

1082591400 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 1082591400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861264800).

1082591400 is an abundant number, since it is smaller than the sum of its proper divisors (2639938200).

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

1082591400 is a wasteful number, since it uses less digits than its factorization.

1082591400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1082591400 is about 32902.7567234115. The cubic root of 1082591400 is about 1026.8055110098.

The spelling of 1082591400 in words is "one billion, eighty-two million, five hundred ninety-one thousand, four hundred".