206061408 has 240 divisors, whose sum is σ = 712049184. Its totient is φ = 57231360.

The previous prime is 206061389. The next prime is 206061431. The reversal of 206061408 is 804160602.

It is a super-2 number, since 2×206061408² = 84922607733884928, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 743766 + ... + 744042.

Almost surely, 2^206061408 is an apocalyptic number.

206061408 is a gapful number since it is divisible by the number (28) 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 206061408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356024592).

206061408 is an abundant number, since it is smaller than the sum of its proper divisors (505987776).

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

206061408 is a wasteful number, since it uses less digits than its factorization.

206061408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 206061408 is about 14354.8391840522. The cubic root of 206061408 is about 590.6527373217.

The spelling of 206061408 in words is "two hundred six million, sixty-one thousand, four hundred eight".