80460 has 48 divisors (see below), whose sum is σ = 252000. Its totient is φ = 21312.

The previous prime is 80449. The next prime is 80471. The reversal of 80460 is 6408.

It is an interprime number because it is at equal distance from previous prime (80449) and next prime (80471).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (5250).

2⁸⁰⁴⁶⁰ 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 80460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000).

80460 is an abundant number, since it is smaller than the sum of its proper divisors (171540).

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

80460 is a wasteful number, since it uses less digits than its factorization.

80460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 80460 is about 283.6547196857. The cubic root of 80460 is about 43.1711226764.

Adding to 80460 its reverse (6408), we get a palindrome (86868).

The spelling of 80460 in words is "eighty thousand, four hundred sixty".