1632242144 has 96 divisors (see below), whose sum is σ = 3590897184. Its totient is φ = 725483520.

The previous prime is 1632242099. The next prime is 1632242153. The reversal of 1632242144 is 4412422361.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415072 + ... + 1416224.

It is an arithmetic number, because the mean of its divisors is an integer number (37405179).

Almost surely, 2^1632242144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1632242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795448592).

1632242144 is an abundant number, since it is smaller than the sum of its proper divisors (1958655040).

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

1632242144 is a wasteful number, since it uses less digits than its factorization.

1632242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1292 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 1632242144 is about 40401.0166208723. The cubic root of 1632242144 is about 1177.4112894554.

The spelling of 1632242144 in words is "one billion, six hundred thirty-two million, two hundred forty-two thousand, one hundred forty-four".