206961408 has 108 divisors (see below), whose sum is σ = 610890280. Its totient is φ = 67350528.

The previous prime is 206961407. The next prime is 206961437. The reversal of 206961408 is 804169602.

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

It is not an unprimeable number, because it can be changed into a prime (206961407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98028 + ... + 100116.

Almost surely, 2^206961408 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 206961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305445140).

206961408 is an abundant number, since it is smaller than the sum of its proper divisors (403928872).

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

206961408 is a wasteful number, since it uses less digits than its factorization.

206961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 206961408 is about 14386.1533427112. The cubic root of 206961408 is about 591.5114059671.

The spelling of 206961408 in words is "two hundred six million, nine hundred sixty-one thousand, four hundred eight".