206270064 has 480 divisors, whose sum is σ = 818947584. Its totient is φ = 48522240.

The previous prime is 206270059. The next prime is 206270083. The reversal of 206270064 is 460072602.

206270064 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3891862 + ... + 3891914.

Almost surely, 2^206270064 is an apocalyptic number.

206270064 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 206270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

206270064 is an abundant number, since it is smaller than the sum of its proper divisors (612677520).

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

206270064 is a wasteful number, since it uses less digits than its factorization.

206270064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 206270064 is about 14362.1051381753. The cubic root of 206270064 is about 590.8520333532.

The spelling of 206270064 in words is "two hundred six million, two hundred seventy thousand, sixty-four".