206072640 has 448 divisors, whose sum is σ = 816376320. Its totient is φ = 48660480.

The previous prime is 206072609. The next prime is 206072653. The reversal of 206072640 is 46270602.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3378210 + ... + 3378270.

Almost surely, 2^206072640 is an apocalyptic number.

206072640 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 206072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408188160).

206072640 is an abundant number, since it is smaller than the sum of its proper divisors (610303680).

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

206072640 is a wasteful number, since it uses less digits than its factorization.

206072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

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

The square root of 206072640 is about 14355.2304056744. The cubic root of 206072640 is about 590.6634688977.

The spelling of 206072640 in words is "two hundred six million, seventy-two thousand, six hundred forty".