205650864 has 60 divisors (see below), whose sum is σ = 581509656. Its totient is φ = 67838976.

The previous prime is 205650857. The next prime is 205650899. The reversal of 205650864 is 468056502.

205650864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6607 + ... + 21329.

Almost surely, 2^205650864 is an apocalyptic number.

205650864 is a gapful number since it is divisible by the number (24) 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 205650864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290754828).

205650864 is an abundant number, since it is smaller than the sum of its proper divisors (375858792).

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

205650864 is a wasteful number, since it uses less digits than its factorization.

205650864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14834 (or 14825 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 205650864 is about 14340.5322076972. The cubic root of 205650864 is about 590.2602165383.

The spelling of 205650864 in words is "two hundred five million, six hundred fifty thousand, eight hundred sixty-four".