205842672 has 120 divisors (see below), whose sum is σ = 670965984. Its totient is φ = 57687552.

The previous prime is 205842653. The next prime is 205842691. The reversal of 205842672 is 276248502.

205842672 is a `hidden beast` number, since 2 + 0 + 584 + 2 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (205842653) and next prime (205842691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51498 + ... + 55350.

Almost surely, 2^205842672 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 205842672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335482992).

205842672 is an abundant number, since it is smaller than the sum of its proper divisors (465123312).

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

205842672 is a wasteful number, since it uses less digits than its factorization.

205842672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 205842672 is about 14347.2182669673. The cubic root of 205842672 is about 590.4436689668.

The spelling of 205842672 in words is "two hundred five million, eight hundred forty-two thousand, six hundred seventy-two".