206872704 has 128 divisors (see below), whose sum is σ = 618936000. Its totient is φ = 68864256.

The previous prime is 206872697. The next prime is 206872733. The reversal of 206872704 is 407278602.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279567 + ... + 280305.

Almost surely, 2^206872704 is an apocalyptic number.

206872704 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 206872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309468000).

206872704 is an abundant number, since it is smaller than the sum of its proper divisors (412063296).

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

206872704 is an frugal number, since it uses more digits than its factorization.

206872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 206872704 is about 14383.0700478027. The cubic root of 206872704 is about 591.4268863036.

The spelling of 206872704 in words is "two hundred six million, eight hundred seventy-two thousand, seven hundred four".