83630160 has 120 divisors (see below), whose sum is σ = 287809704. Its totient is φ = 21749760.

The previous prime is 83630159. The next prime is 83630189. The reversal of 83630160 is 6103638.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 83612736 = 132^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 28104 + ... + 30936.

Almost surely, 2^83630160 is an apocalyptic number.

83630160 is a gapful number since it is divisible by the number (80) 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 83630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143904852).

83630160 is an abundant number, since it is smaller than the sum of its proper divisors (204179544).

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

83630160 is a wasteful number, since it uses less digits than its factorization.

83630160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83630160 is about 9144.9527062746. The cubic root of 83630160 is about 437.3082217966.

Adding to 83630160 its reverse (6103638), we get a palindrome (89733798).

The spelling of 83630160 in words is "eighty-three million, six hundred thirty thousand, one hundred sixty".