206989400 has 48 divisors (see below), whose sum is σ = 486062640. Its totient is φ = 81968000.

The previous prime is 206989381. The next prime is 206989411. The reversal of 206989400 is 4989602.

It is a super-2 number, since 2×206989400² = 85689223424720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15077 + ... + 25323.

It is an arithmetic number, because the mean of its divisors is an integer number (10126305).

Almost surely, 2^206989400 is an apocalyptic number.

206989400 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 206989400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243031320).

206989400 is an abundant number, since it is smaller than the sum of its proper divisors (279073240).

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

206989400 is a wasteful number, since it uses less digits than its factorization.

206989400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 206989400 is about 14387.1261897573. The cubic root of 206989400 is about 591.5380725182.

The spelling of 206989400 in words is "two hundred six million, nine hundred eighty-nine thousand, four hundred".