205420536 has 128 divisors (see below), whose sum is σ = 590400000. Its totient is φ = 66974688.

The previous prime is 205420517. The next prime is 205420541. The reversal of 205420536 is 635024502.

205420536 is a `hidden beast` number, since 205 + 420 + 5 + 36 = 666.

It is a super-2 number, since 2×205420536² = 84395193221054592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032165 + ... + 1032363.

It is an arithmetic number, because the mean of its divisors is an integer number (4612500).

Almost surely, 2^205420536 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 205420536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295200000).

205420536 is an abundant number, since it is smaller than the sum of its proper divisors (384979464).

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

205420536 is an equidigital number, since it uses as much as digits as its factorization.

205420536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 205420536 is about 14332.4992935636. The cubic root of 205420536 is about 590.0397713303.

The spelling of 205420536 in words is "two hundred five million, four hundred twenty thousand, five hundred thirty-six".