206531400 has 96 divisors (see below), whose sum is σ = 646431840. Its totient is φ = 54543360.

The previous prime is 206531399. The next prime is 206531401. The reversal of 206531400 is 4135602.

It is a happy number.

206531400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206531399) and next prime (206531401).

It is not an unprimeable number, because it can be changed into a prime (206531401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62592 + ... + 65808.

It is an arithmetic number, because the mean of its divisors is an integer number (6733665).

Almost surely, 2^206531400 is an apocalyptic number.

206531400 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 206531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323215920).

206531400 is an abundant number, since it is smaller than the sum of its proper divisors (439900440).

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

206531400 is a wasteful number, since it uses less digits than its factorization.

206531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 206531400 is about 14371.2003674015. The cubic root of 206531400 is about 591.1014567532.

The spelling of 206531400 in words is "two hundred six million, five hundred thirty-one thousand, four hundred".