206672040 has 128 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 53326080.

The previous prime is 206672033. The next prime is 206672041. The reversal of 206672040 is 40276602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206671995 and 206672013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206672041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30394 + ... + 36566.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^206672040 is an apocalyptic number.

206672040 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 206672040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

206672040 is an abundant number, since it is smaller than the sum of its proper divisors (504572760).

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

206672040 is a wasteful number, since it uses less digits than its factorization.

206672040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6214 counting only the distinct ones).

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

The square root of 206672040 is about 14376.0926541255. The cubic root of 206672040 is about 591.2355988191.

The spelling of 206672040 in words is "two hundred six million, six hundred seventy-two thousand, forty".