205738988 has 48 divisors (see below), whose sum is σ = 444575040. Its totient is φ = 81126144.

The previous prime is 205738957. The next prime is 205738997. The reversal of 205738988 is 889837502.

205738988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140870 + ... + 142322.

It is an arithmetic number, because the mean of its divisors is an integer number (9261980).

Almost surely, 2^205738988 is an apocalyptic number.

205738988 is a gapful number since it is divisible by the number (28) 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 205738988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222287520).

205738988 is an abundant number, since it is smaller than the sum of its proper divisors (238836052).

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

205738988 is a wasteful number, since it uses less digits than its factorization.

205738988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 205738988 is about 14343.6044284552. The cubic root of 205738988 is about 590.3445158247.

The spelling of 205738988 in words is "two hundred five million, seven hundred thirty-eight thousand, nine hundred eighty-eight".