1638432 has 36 divisors (see below), whose sum is σ = 4660110. Its totient is φ = 546048.

The previous prime is 1638431. The next prime is 1638463. The reversal of 1638432 is 2348361.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 992016 + 646416 = 996^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1638396 and 1638405.

It is not an unprimeable number, because it can be changed into a prime (1638431) 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, 2557 + ... + 3132.

2^1638432 is an apocalyptic number.

1638432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1638432 is an abundant number, since it is smaller than the sum of its proper divisors (3021678).

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

1638432 is a wasteful number, since it uses less digits than its factorization.

1638432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5694 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1638432 is about 1280.0124999390. The cubic root of 1638432 is about 117.8897754581.

It can be divided in two parts, 16384 and 32, that multiplied together give a 19-th power (524288 = 2¹⁹).

The spelling of 1638432 in words is "one million, six hundred thirty-eight thousand, four hundred thirty-two".