83201560 has 96 divisors (see below), whose sum is σ = 209729520. Its totient is φ = 29514240.

The previous prime is 83201549. The next prime is 83201579. The reversal of 83201560 is 6510238.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363930 + ... + 1363990.

Almost surely, 2^83201560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83201560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104864760).

83201560 is an abundant number, since it is smaller than the sum of its proper divisors (126527960).

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

83201560 is a wasteful number, since it uses less digits than its factorization.

83201560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 83201560 is about 9121.4889135491. The cubic root of 83201560 is about 436.5598816896.

Adding to 83201560 its reverse (6510238), we get a palindrome (89711798).

The spelling of 83201560 in words is "eighty-three million, two hundred one thousand, five hundred sixty".