205013984 has 48 divisors (see below), whose sum is σ = 466881408. Its totient is φ = 86796672.

The previous prime is 205013983. The next prime is 205013993. The reversal of 205013984 is 489310502.

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

It is a self number, because there is not a number n which added to its sum of digits gives 205013984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205013983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13079 + ... + 24105.

It is an arithmetic number, because the mean of its divisors is an integer number (9726696).

Almost surely, 2^205013984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233440704).

205013984 is an abundant number, since it is smaller than the sum of its proper divisors (261867424).

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

205013984 is a wasteful number, since it uses less digits than its factorization.

205013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127 (or 11119 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 205013984 is about 14318.3093974114. The cubic root of 205013984 is about 589.6502609796.

The spelling of 205013984 in words is "two hundred five million, thirteen thousand, nine hundred eighty-four".