32460 has 24 divisors (see below), whose sum is σ = 91056. Its totient is φ = 8640.

The previous prime is 32443. The next prime is 32467. The reversal of 32460 is 6423.

32460 = 56² + 57² + ... + 64².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (32467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (3794).

2³²⁴⁶⁰ is an apocalyptic number.

32460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32460 is an abundant number, since it is smaller than the sum of its proper divisors (58596).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528).

32460 is a wasteful number, since it uses less digits than its factorization.

32460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32460 is about 180.1665895775. The cubic root of 32460 is about 31.8994238029.

Adding to 32460 its reverse (6423), we get a palindrome (38883).

The spelling of 32460 in words is "thirty-two thousand, four hundred sixty".