34260 has 24 divisors (see below), whose sum is σ = 96096. Its totient is φ = 9120.

The previous prime is 34259. The next prime is 34261. The reversal of 34260 is 6243.

It is an interprime number because it is at equal distance from previous prime (34259) and next prime (34261).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34260.

It is not an unprimeable number, because it can be changed into a prime (34261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (4004).

2³⁴²⁶⁰ is an apocalyptic number.

34260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34260 is an abundant number, since it is smaller than the sum of its proper divisors (61836).

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 (48048).

34260 is a wasteful number, since it uses less digits than its factorization.

34260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

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

The square root of 34260 is about 185.0945704228. The cubic root of 34260 is about 32.4784867487.

The spelling of 34260 in words is "thirty-four thousand, two hundred sixty".