205612000 has 96 divisors (see below), whose sum is σ = 551232864. Its totient is φ = 74752000.

The previous prime is 205611979. The next prime is 205612003. The reversal of 205612000 is 216502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205612003) 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 15 ways as a sum of consecutive naturals, for example, 41664 + ... + 46336.

It is an arithmetic number, because the mean of its divisors is an integer number (5742009).

Almost surely, 2^205612000 is an apocalyptic number.

205612000 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 205612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275616432).

205612000 is an abundant number, since it is smaller than the sum of its proper divisors (345620864).

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

205612000 is a wasteful number, since it uses less digits than its factorization.

205612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205612000 is about 14339.1771033069. The cubic root of 205612000 is about 590.2230316419.

Adding to 205612000 its reverse (216502), we get a palindrome (205828502).

The spelling of 205612000 in words is "two hundred five million, six hundred twelve thousand".