1032800 has 36 divisors (see below), whose sum is σ = 2523276. Its totient is φ = 412800.

The previous prime is 1032799. The next prime is 1032803. The reversal of 1032800 is 82301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (70091).

2^1032800 is an apocalyptic number.

1032800 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 1032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261638).

1032800 is an abundant number, since it is smaller than the sum of its proper divisors (1490476).

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

1032800 is a wasteful number, since it uses less digits than its factorization.

1032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1032800 is about 1016.2676812730. The cubic root of 1032800 is about 101.0815927286.

The spelling of 1032800 in words is "one million, thirty-two thousand, eight hundred".