83230560 has 288 divisors, whose sum is σ = 339655680. Its totient is φ = 18146304.

The previous prime is 83230523. The next prime is 83230573. The reversal of 83230560 is 6503238.

83230560 is a `hidden beast` number, since 83 + 23 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×83230560² = 13854652235827200, 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231661 + ... + 232019.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^83230560 is an apocalyptic number.

83230560 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 83230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

83230560 is an abundant number, since it is smaller than the sum of its proper divisors (256425120).

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

83230560 is a wasteful number, since it uses less digits than its factorization.

83230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 83230560 is about 9123.0784278115. The cubic root of 83230560 is about 436.6105969484.

Adding to 83230560 its reverse (6503238), we get a palindrome (89733798).

The spelling of 83230560 in words is "eighty-three million, two hundred thirty thousand, five hundred sixty".