205671312 has 280 divisors, whose sum is σ = 748136640. Its totient is φ = 53187840.

The previous prime is 205671311. The next prime is 205671317. The reversal of 205671312 is 213176502.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205671311) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 898014 + ... + 898242.

Almost surely, 2^205671312 is an apocalyptic number.

205671312 is a gapful number since it is divisible by the number (22) 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 205671312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374068320).

205671312 is an abundant number, since it is smaller than the sum of its proper divisors (542465328).

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

205671312 is a wasteful number, since it uses less digits than its factorization.

205671312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 205671312 is about 14341.2451342274. The cubic root of 205671312 is about 590.2797792099.

The spelling of 205671312 in words is "two hundred five million, six hundred seventy-one thousand, three hundred twelve".