83008560 has 40 divisors (see below), whose sum is σ = 257327280. Its totient is φ = 22135552.

The previous prime is 83008553. The next prime is 83008561. The reversal of 83008560 is 6580038.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (83008561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172695 + ... + 173174.

It is an arithmetic number, because the mean of its divisors is an integer number (6433182).

Almost surely, 2^83008560 is an apocalyptic number.

83008560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83008560 is an abundant number, since it is smaller than the sum of its proper divisors (174318720).

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

83008560 is a wasteful number, since it uses less digits than its factorization.

83008560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345885 (or 345879 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 83008560 is about 9110.9033580650. The cubic root of 83008560 is about 436.2220623428. Note that the first 3 decimals are identical.

Adding to 83008560 its reverse (6580038), we get a palindrome (89588598).

The spelling of 83008560 in words is "eighty-three million, eight thousand, five hundred sixty".