83460 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 20352.

The previous prime is 83459. The next prime is 83471. The reversal of 83460 is 6438.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁸³⁴⁶⁰ 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 83460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

83460 is an abundant number, since it is smaller than the sum of its proper divisors (170556).

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

83460 is a wasteful number, since it uses less digits than its factorization.

83460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 83460 is about 288.8944443910. The cubic root of 83460 is about 43.7011427385.

Adding to 83460 its reverse (6438), we get a palindrome (89898).

The spelling of 83460 in words is "eighty-three thousand, four hundred sixty".