295920 has 80 divisors (see below), whose sum is σ = 1026720. Its totient is φ = 78336.

The previous prime is 295909. The next prime is 295937. The reversal of 295920 is 29592.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 295920.

It is an unprimeable number.

295920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2092 + ... + 2228.

It is an arithmetic number, because the mean of its divisors is an integer number (12834).

2²⁹⁵⁹²⁰ is an apocalyptic number.

295920 is a gapful number since it is divisible by the number (20) 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 295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513360).

295920 is an abundant number, since it is smaller than the sum of its proper divisors (730800).

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

295920 is a wasteful number, since it uses less digits than its factorization.

295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 295920 is about 543.9852939189. The cubic root of 295920 is about 66.6384324886.

The spelling of 295920 in words is "two hundred ninety-five thousand, nine hundred twenty".