206874864 has 240 divisors, whose sum is σ = 716695200. Its totient is φ = 56899584.

The previous prime is 206874839. The next prime is 206874911. The reversal of 206874864 is 468478602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613704 + ... + 614040.

It is an arithmetic number, because the mean of its divisors is an integer number (2986230).

Almost surely, 2^206874864 is an apocalyptic number.

206874864 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 206874864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358347600).

206874864 is an abundant number, since it is smaller than the sum of its proper divisors (509820336).

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

206874864 is a wasteful number, since it uses less digits than its factorization.

206874864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 206874864 is about 14383.1451358874. The cubic root of 206874864 is about 591.4289446993.

It can be divided in two parts, 20 and 6874864, that added together give a square (6874884 = 2622²).

The spelling of 206874864 in words is "two hundred six million, eight hundred seventy-four thousand, eight hundred sixty-four".