205760742 has 72 divisors (see below), whose sum is σ = 469859208. Its totient is φ = 60023040.

The previous prime is 205760729. The next prime is 205760749. The reversal of 205760742 is 247067502.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205760749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 610398 + ... + 610734.

Almost surely, 2^205760742 is an apocalyptic number.

205760742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205760742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234929604).

205760742 is an abundant number, since it is smaller than the sum of its proper divisors (264098466).

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

205760742 is a wasteful number, since it uses less digits than its factorization.

205760742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 205760742 is about 14344.3627254751. The cubic root of 205760742 is about 590.3653219638.

The spelling of 205760742 in words is "two hundred five million, seven hundred sixty thousand, seven hundred forty-two".