1632138320 has 20 divisors (see below), whose sum is σ = 3794721780. Its totient is φ = 652855296.

The previous prime is 1632138283. The next prime is 1632138331. The reversal of 1632138320 is 238312361.

It can be written as a sum of positive squares in 2 ways, for example, as 775288336 + 856849984 = 27844^2 + 29272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1632138320² = 5327750991224844800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 10200785 + ... + 10200944.

It is an arithmetic number, because the mean of its divisors is an integer number (189736089).

Almost surely, 2^1632138320 is an apocalyptic number.

1632138320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1632138320 is an abundant number, since it is smaller than the sum of its proper divisors (2162583460).

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

1632138320 is a wasteful number, since it uses less digits than its factorization.

1632138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401742 (or 20401736 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1632138320 is about 40399.7316822773. The cubic root of 1632138320 is about 1177.3863245848.

The spelling of 1632138320 in words is "one billion, six hundred thirty-two million, one hundred thirty-eight thousand, three hundred twenty".