1080900 has 54 divisors (see below), whose sum is σ = 3390842. Its totient is φ = 288000.

The previous prime is 1080899. The next prime is 1080901. The reversal of 1080900 is 90801.

1080900 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1080899) and next prime (1080901).

It can be written as a sum of positive squares in 3 ways, for example, as 15876 + 1065024 = 126^2 + 1032^2 .

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

1080900 is an undulating number in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 300 + ... + 1500.

2^1080900 is an apocalyptic number.

1080900 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 1080900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695421).

1080900 is an abundant number, since it is smaller than the sum of its proper divisors (2309942).

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

1080900 is a wasteful number, since it uses less digits than its factorization.

1080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1080900 is about 1039.6634070698. The cubic root of 1080900 is about 102.6270484868.

Subtracting from 1080900 its reverse (90801), we obtain a palindrome (990099).

The spelling of 1080900 in words is "one million, eighty thousand, nine hundred".