205889664 has 64 divisors (see below), whose sum is σ = 552024000. Its totient is φ = 67986432.

The previous prime is 205889653. The next prime is 205889689. The reversal of 205889664 is 466988502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×205889664³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39397 + ... + 44315.

It is an arithmetic number, because the mean of its divisors is an integer number (8625375).

Almost surely, 2^205889664 is an apocalyptic number.

205889664 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 205889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276012000).

205889664 is an abundant number, since it is smaller than the sum of its proper divisors (346134336).

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

205889664 is a wasteful number, since it uses less digits than its factorization.

205889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 205889664 is about 14348.8558428887. The cubic root of 205889664 is about 590.4885965119.

The spelling of 205889664 in words is "two hundred five million, eight hundred eighty-nine thousand, six hundred sixty-four".