1080400 has 60 divisors (see below), whose sum is σ = 2702332. Its totient is φ = 414720.

The previous prime is 1080383. The next prime is 1080413. The reversal of 1080400 is 40801.

It can be written as a sum of positive squares in 6 ways, for example, as 15376 + 1065024 = 124^2 + 1032^2 .

It is a super-3 number, since 3×1080400³ = 3783336595392000000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14764 + ... + 14836.

2^1080400 is an apocalyptic number.

1080400 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 1080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351166).

1080400 is an abundant number, since it is smaller than the sum of its proper divisors (1621932).

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

1080400 is a wasteful number, since it uses less digits than its factorization.

1080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1080400 is about 1039.4229168149. The cubic root of 1080400 is about 102.6112217257.

The spelling of 1080400 in words is "one million, eighty thousand, four hundred".