209970672 has 160 divisors (see below), whose sum is σ = 626745600. Its totient is φ = 60125184.

The previous prime is 209970659. The next prime is 209970707. The reversal of 209970672 is 276079902.

209970672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449383 + ... + 449849.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2^209970672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209970672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313372800).

209970672 is an abundant number, since it is smaller than the sum of its proper divisors (416774928).

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

209970672 is a wasteful number, since it uses less digits than its factorization.

209970672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 209970672 is about 14490.3647987206. The cubic root of 209970672 is about 594.3645236162.

It can be divided in two parts, 2099 and 70672, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 209970672 in words is "two hundred nine million, nine hundred seventy thousand, six hundred seventy-two".