206253040 has 80 divisors (see below), whose sum is σ = 553839552. Its totient is φ = 69967872.

The previous prime is 206253031. The next prime is 206253041. The reversal of 206253040 is 40352602.

It is a happy number.

206253040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206253041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52422 + ... + 56218.

Almost surely, 2^206253040 is an apocalyptic number.

206253040 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 206253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276919776).

206253040 is an abundant number, since it is smaller than the sum of its proper divisors (347586512).

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

206253040 is a wasteful number, since it uses less digits than its factorization.

206253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 206253040 is about 14361.5124551699. The cubic root of 206253040 is about 590.8357780590.

The spelling of 206253040 in words is "two hundred six million, two hundred fifty-three thousand, forty".