206972010 has 160 divisors (see below), whose sum is σ = 642736512. Its totient is φ = 46811520.

The previous prime is 206971987. The next prime is 206972041. The reversal of 206972010 is 10279602.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 980805 + ... + 981015.

Almost surely, 2^206972010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206972010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321368256).

206972010 is an abundant number, since it is smaller than the sum of its proper divisors (435764502).

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

206972010 is a wasteful number, since it uses less digits than its factorization.

206972010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 206972010 is about 14386.5218173122. The cubic root of 206972010 is about 591.5215062348.

The spelling of 206972010 in words is "two hundred six million, nine hundred seventy-two thousand, ten".