206078640 has 120 divisors (see below), whose sum is σ = 662280528. Its totient is φ = 53007360.

The previous prime is 206078603. The next prime is 206078651. The reversal of 206078640 is 46870602.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201330 + ... + 202350.

Almost surely, 2^206078640 is an apocalyptic number.

206078640 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 206078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331140264).

206078640 is an abundant number, since it is smaller than the sum of its proper divisors (456201888).

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

206078640 is a wasteful number, since it uses less digits than its factorization.

206078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 206078640 is about 14355.4393872149. The cubic root of 206078640 is about 590.6692014175.

The spelling of 206078640 in words is "two hundred six million, seventy-eight thousand, six hundred forty".