206473680 has 240 divisors, whose sum is σ = 805019904. Its totient is φ = 46448640.

The previous prime is 206473667. The next prime is 206473723. The reversal of 206473680 is 86374602.

206473680 is a `hidden beast` number, since 2 + 0 + 647 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 357552 + ... + 358128.

Almost surely, 2^206473680 is an apocalyptic number.

206473680 is a gapful number since it is divisible by the number (20) 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 206473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402509952).

206473680 is an abundant number, since it is smaller than the sum of its proper divisors (598546224).

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

206473680 is a wasteful number, since it uses less digits than its factorization.

206473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 206473680 is about 14369.1920440921. The cubic root of 206473680 is about 591.0463859424.

The spelling of 206473680 in words is "two hundred six million, four hundred seventy-three thousand, six hundred eighty".