205848320 has 72 divisors (see below), whose sum is σ = 500052336. Its totient is φ = 81174528.

The previous prime is 205848317. The next prime is 205848323. The reversal of 205848320 is 23848502.

It is an interprime number because it is at equal distance from previous prime (205848317) and next prime (205848323).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205848323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92339 + ... + 94541.

Almost surely, 2^205848320 is an apocalyptic number.

205848320 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 205848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250026168).

205848320 is an abundant number, since it is smaller than the sum of its proper divisors (294204016).

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

205848320 is an equidigital number, since it uses as much as digits as its factorization.

205848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 205848320 is about 14347.4150981980. The cubic root of 205848320 is about 590.4490692001.

The spelling of 205848320 in words is "two hundred five million, eight hundred forty-eight thousand, three hundred twenty".