306540 has 72 divisors (see below), whose sum is σ = 1009008. Its totient is φ = 74880.

The previous prime is 306533. The next prime is 306541. The reversal of 306540 is 45603.

It is a happy number.

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

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 306540.

It is not an unprimeable number, because it can be changed into a prime (306541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275 + ... + 2405.

It is an arithmetic number, because the mean of its divisors is an integer number (14014).

2³⁰⁶⁵⁴⁰ is an apocalyptic number.

306540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504504).

306540 is an abundant number, since it is smaller than the sum of its proper divisors (702468).

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

306540 is a wasteful number, since it uses less digits than its factorization.

306540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 306540 is about 553.6605458221. The cubic root of 306540 is about 67.4262569143.

The spelling of 306540 in words is "three hundred six thousand, five hundred forty".