206672400 has 360 divisors, whose sum is σ = 831134304. Its totient is φ = 47001600.

The previous prime is 206672399. The next prime is 206672413. The reversal of 206672400 is 4276602.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673047 + ... + 673353.

Almost surely, 2^206672400 is an apocalyptic number.

206672400 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 206672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415567152).

206672400 is an abundant number, since it is smaller than the sum of its proper divisors (624461904).

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

206672400 is a wasteful number, since it uses less digits than its factorization.

206672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 206672400 is about 14376.1051749074. The cubic root of 206672400 is about 591.2359421080.

The spelling of 206672400 in words is "two hundred six million, six hundred seventy-two thousand, four hundred".