1032400 has 60 divisors (see below), whose sum is σ = 2594700. Its totient is φ = 394240.

The previous prime is 1032397. The next prime is 1032407. The reversal of 1032400 is 42301.

1032400 = 63² + 64² + ... + 149².

It can be written as a sum of positive squares in 6 ways, for example, as 87616 + 944784 = 296^2 + 972^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11556 + ... + 11644.

It is an arithmetic number, because the mean of its divisors is an integer number (43245).

2^1032400 is an apocalyptic number.

1032400 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 1032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297350).

1032400 is an abundant number, since it is smaller than the sum of its proper divisors (1562300).

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

1032400 is a wasteful number, since it uses less digits than its factorization.

1032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1032400 is about 1016.0708636704. The cubic root of 1032400 is about 101.0685415221.

Adding to 1032400 its reverse (42301), we get a palindrome (1074701).

Subtracting from 1032400 its reverse (42301), we obtain a palindrome (990099).

The spelling of 1032400 in words is "one million, thirty-two thousand, four hundred".