1632406160 has 120 divisors (see below), whose sum is σ = 4767903168. Its totient is φ = 508780800.

The previous prime is 1632406141. The next prime is 1632406189. The reversal of 1632406160 is 616042361.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 55715 + ... + 79805.

Almost surely, 2^1632406160 is an apocalyptic number.

1632406160 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 1632406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383951584).

1632406160 is an abundant number, since it is smaller than the sum of its proper divisors (3135497008).

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

1632406160 is a wasteful number, since it uses less digits than its factorization.

1632406160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24133 (or 24116 counting only the distinct ones).

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

The square root of 1632406160 is about 40403.0464197936. The cubic root of 1632406160 is about 1177.4507255613.

The spelling of 1632406160 in words is "one billion, six hundred thirty-two million, four hundred six thousand, one hundred sixty".