8160001632 has 144 divisors (see below), whose sum is σ = 25093478592. Its totient is φ = 2505461760.

The previous prime is 8160001631. The next prime is 8160001637. The reversal of 8160001632 is 2361000618.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 8160001596 and 8160001605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8160001631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212382 + ... + 247842.

It is an arithmetic number, because the mean of its divisors is an integer number (174260268).

Almost surely, 2^8160001632 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 8160001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546739296).

8160001632 is an abundant number, since it is smaller than the sum of its proper divisors (16933476960).

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

8160001632 is a wasteful number, since it uses less digits than its factorization.

8160001632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35541 (or 35530 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8160001632 is about 90332.7273583611. The cubic root of 8160001632 is about 2013.2455533366.

The spelling of 8160001632 in words is "eight billion, one hundred sixty million, one thousand, six hundred thirty-two".