83123260 has 48 divisors (see below), whose sum is σ = 194503680. Its totient is φ = 29579840.

The previous prime is 83123237. The next prime is 83123267. The reversal of 83123260 is 6232138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83123267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6321 + ... + 14359.

It is an arithmetic number, because the mean of its divisors is an integer number (4052160).

Almost surely, 2^83123260 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 83123260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97251840).

83123260 is an abundant number, since it is smaller than the sum of its proper divisors (111380420).

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

83123260 is a wasteful number, since it uses less digits than its factorization.

83123260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 83123260 is about 9117.1958408274. The cubic root of 83123260 is about 436.4228916007.

Adding to 83123260 its reverse (6232138), we get a palindrome (89355398).

The spelling of 83123260 in words is "eighty-three million, one hundred twenty-three thousand, two hundred sixty".