205242720 has 96 divisors (see below), whose sum is σ = 662346720. Its totient is φ = 53391360.

The previous prime is 205242703. The next prime is 205242721. The reversal of 205242720 is 27242502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×205242720² = 84249148225996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205242721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14466 + ... + 24894.

It is an arithmetic number, because the mean of its divisors is an integer number (6899445).

Almost surely, 2^205242720 is an apocalyptic number.

205242720 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 205242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331173360).

205242720 is an abundant number, since it is smaller than the sum of its proper divisors (457104000).

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

205242720 is a wasteful number, since it uses less digits than its factorization.

205242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10488 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 205242720 is about 14326.2947058896. The cubic root of 205242720 is about 589.8694722262.

The spelling of 205242720 in words is "two hundred five million, two hundred forty-two thousand, seven hundred twenty".