83430560 has 96 divisors (see below), whose sum is σ = 214598160. Its totient is φ = 30523392.

The previous prime is 83430559. The next prime is 83430563. The reversal of 83430560 is 6503438.

It can be written as a sum of positive squares in 8 ways, for example, as 68095504 + 15335056 = 8252^2 + 3916^2 .

It is not an unprimeable number, because it can be changed into a prime (83430563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100226 + ... + 101054.

Almost surely, 2^83430560 is an apocalyptic number.

83430560 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 83430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107299080).

83430560 is an abundant number, since it is smaller than the sum of its proper divisors (131167600).

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

83430560 is a wasteful number, since it uses less digits than its factorization.

83430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 83430560 is about 9134.0330632202. The cubic root of 83430560 is about 436.9600369804.

Adding to 83430560 its reverse (6503438), we get a palindrome (89933998).

The spelling of 83430560 in words is "eighty-three million, four hundred thirty thousand, five hundred sixty".