1632042432 has 168 divisors, whose sum is σ = 5137410096. Its totient is φ = 511930368.

The previous prime is 1632042427. The next prime is 1632042457. The reversal of 1632042432 is 2342402361.

1632042432 is a `hidden beast` number, since 1 + 632 + 0 + 4 + 24 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1632042396 and 1632042405.

It is a congruent number.

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, 261298 + ... + 267470.

It is an arithmetic number, because the mean of its divisors is an integer number (30579822).

Almost surely, 2^1632042432 is an apocalyptic number.

1632042432 is a gapful number since it is divisible by the number (12) 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 1632042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568705048).

1632042432 is an abundant number, since it is smaller than the sum of its proper divisors (3505367664).

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

1632042432 is an equidigital number, since it uses as much as digits as its factorization.

1632042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1632042432 is about 40398.5449242915. The cubic root of 1632042432 is about 1177.3632670148.

Adding to 1632042432 its reverse (2342402361), we get a palindrome (3974444793).

The spelling of 1632042432 in words is "one billion, six hundred thirty-two million, forty-two thousand, four hundred thirty-two".