1081382400 has 600 divisors, whose sum is σ = 4604727600. Its totient is φ = 245514240.

The previous prime is 1081382399. The next prime is 1081382431. The reversal of 1081382400 is 42831801.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257526 + ... + 7257674.

It is an arithmetic number, because the mean of its divisors is an integer number (7674546).

Almost surely, 2^1081382400 is an apocalyptic number.

1081382400 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 1081382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302363800).

1081382400 is an abundant number, since it is smaller than the sum of its proper divisors (3523345200).

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

1081382400 is an equidigital number, since it uses as much as digits as its factorization.

1081382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1081382400 is about 32884.3792704074. The cubic root of 1081382400 is about 1026.4231352061.

The spelling of 1081382400 in words is "one billion, eighty-one million, three hundred eighty-two thousand, four hundred".