83122560 has 96 divisors (see below), whose sum is σ = 287052480. Its totient is φ = 22164480.

The previous prime is 83122553. The next prime is 83122561. The reversal of 83122560 is 6522138.

83122560 = T₁₅₅ + T₁₅₆ + ... + T₇₉₄.

83122560 is a `hidden beast` number, since 83 + 1 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83122561) 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 11 ways as a sum of consecutive naturals, for example, 1456 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (2990130).

Almost surely, 2^83122560 is an apocalyptic number.

83122560 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 83122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143526240).

83122560 is an abundant number, since it is smaller than the sum of its proper divisors (203929920).

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

83122560 is a wasteful number, since it uses less digits than its factorization.

83122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 14441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83122560 is about 9117.1574517500. The cubic root of 83122560 is about 436.4216665249.

Adding to 83122560 its reverse (6522138), we get a palindrome (89644698).

The spelling of 83122560 in words is "eighty-three million, one hundred twenty-two thousand, five hundred sixty".