206921952 has 120 divisors (see below), whose sum is σ = 615572496. Its totient is φ = 68179968.

The previous prime is 206921947. The next prime is 206921963. The reversal of 206921952 is 259129602.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251013 + ... + 251835.

Almost surely, 2^206921952 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 206921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307786248).

206921952 is an abundant number, since it is smaller than the sum of its proper divisors (408650544).

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

206921952 is an equidigital number, since it uses as much as digits as its factorization.

206921952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 206921952 is about 14384.7819587229. The cubic root of 206921952 is about 591.4738141643.

The spelling of 206921952 in words is "two hundred six million, nine hundred twenty-one thousand, nine hundred fifty-two".