340920 has 48 divisors (see below), whose sum is σ = 1109160. Its totient is φ = 90816.

The previous prime is 340919. The next prime is 340927. The reversal of 340920 is 29043.

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

It is a junction number, because it is equal to n+sod(n) for n = 340893 and 340902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 833.

2³⁴⁰⁹²⁰ is an apocalyptic number.

340920 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 340920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554580).

340920 is an abundant number, since it is smaller than the sum of its proper divisors (768240).

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

340920 is a wasteful number, since it uses less digits than its factorization.

340920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 340920 is about 583.8835500337. The cubic root of 340920 is about 69.8582164155.

Adding to 340920 its reverse (29043), we get a palindrome (369963).

It can be divided in two parts, 3 and 40920, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 340920 in words is "three hundred forty thousand, nine hundred twenty".