83202560 has 80 divisors (see below), whose sum is σ = 228038976. Its totient is φ = 28520448.

The previous prime is 83202547. The next prime is 83202583. The reversal of 83202560 is 6520238.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15599 + ... + 20241.

Almost surely, 2^83202560 is an apocalyptic number.

83202560 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 83202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114019488).

83202560 is an abundant number, since it is smaller than the sum of its proper divisors (144836416).

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

83202560 is an equidigital number, since it uses as much as digits as its factorization.

83202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 83202560 is about 9121.5437289968. The cubic root of 83202560 is about 436.5616306878.

Adding to 83202560 its reverse (6520238), we get a palindrome (89722798).

The spelling of 83202560 in words is "eighty-three million, two hundred two thousand, five hundred sixty".