345920 has 56 divisors (see below), whose sum is σ = 877824. Its totient is φ = 129536.

The previous prime is 345907. The next prime is 345923. The reversal of 345920 is 29543.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 345920.

It is not an unprimeable number, because it can be changed into a prime (345923) 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, 7337 + ... + 7383.

2³⁴⁵⁹²⁰ 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 345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438912).

345920 is an abundant number, since it is smaller than the sum of its proper divisors (531904).

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

345920 is a wasteful number, since it uses less digits than its factorization.

345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 345920 is about 588.1496408228. The cubic root of 345920 is about 70.1980784262.

The spelling of 345920 in words is "three hundred forty-five thousand, nine hundred twenty".