205268742 has 120 divisors (see below), whose sum is σ = 563622840. Its totient is φ = 55520640.

The previous prime is 205268741. The next prime is 205268743. The reversal of 205268742 is 247862502.

It is an interprime number because it is at equal distance from previous prime (205268741) and next prime (205268743).

It is a junction number, because it is equal to n+sod(n) for n = 205268697 and 205268706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205268741) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 150142 + ... + 151502.

It is an arithmetic number, because the mean of its divisors is an integer number (4696857).

Almost surely, 2^205268742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205268742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281811420).

205268742 is an abundant number, since it is smaller than the sum of its proper divisors (358354098).

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

205268742 is a wasteful number, since it uses less digits than its factorization.

205268742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 205268742 is about 14327.2028672732. The cubic root of 205268742 is about 589.8944003288.

The spelling of 205268742 in words is "two hundred five million, two hundred sixty-eight thousand, seven hundred forty-two".