206670816 has 144 divisors (see below), whose sum is σ = 649237680. Its totient is φ = 61839360.

The previous prime is 206670803. The next prime is 206670823. The reversal of 206670816 is 618076602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×206670816² = 85425652372211712, which contains 22 as substring.

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, 281586 + ... + 282318.

It is an arithmetic number, because the mean of its divisors is an integer number (4508595).

Almost surely, 2^206670816 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 206670816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324618840).

206670816 is an abundant number, since it is smaller than the sum of its proper divisors (442566864).

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

206670816 is a wasteful number, since it uses less digits than its factorization.

206670816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 206670816 is about 14376.0500833852. The cubic root of 206670816 is about 591.2344316336.

The spelling of 206670816 in words is "two hundred six million, six hundred seventy thousand, eight hundred sixteen".