206406144 has 280 divisors, whose sum is σ = 715608960. Its totient is φ = 58226688.

The previous prime is 206406119. The next prime is 206406157. The reversal of 206406144 is 441604602.

206406144 is a `hidden beast` number, since 2 + 0 + 6 + 40 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2612697 + ... + 2612775.

Almost surely, 2^206406144 is an apocalyptic number.

206406144 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 206406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357804480).

206406144 is an abundant number, since it is smaller than the sum of its proper divisors (509202816).

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

206406144 is an frugal number, since it uses more digits than its factorization.

206406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 206406144 is about 14366.8418241449. The cubic root of 206406144 is about 590.9819366274.

The spelling of 206406144 in words is "two hundred six million, four hundred six thousand, one hundred forty-four".