1632400 has 120 divisors (see below), whose sum is σ = 4981824. Its totient is φ = 499200.

The previous prime is 1632383. The next prime is 1632427. The reversal of 1632400 is 42361.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30774 + ... + 30826.

2^1632400 is an apocalyptic number.

1632400 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 1632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490912).

1632400 is an abundant number, since it is smaller than the sum of its proper divisors (3349424).

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

1632400 is a wasteful number, since it uses less digits than its factorization.

1632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1632400 is about 1277.6541002948. The cubic root of 1632400 is about 117.7449244495.

Adding to 1632400 its reverse (42361), we get a palindrome (1674761).

It can be divided in two parts, 16 and 32400, that multiplied together give a square (518400 = 720²).

The spelling of 1632400 in words is "one million, six hundred thirty-two thousand, four hundred".