206264640 has 112 divisors (see below), whose sum is σ = 672705792. Its totient is φ = 53508096.

The previous prime is 206264581. The next prime is 206264647. The reversal of 206264640 is 46462602.

It is a super-3 number, since 3×206264640³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206264598 and 206264607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206264647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32617 + ... + 38423.

Almost surely, 2^206264640 is an apocalyptic number.

206264640 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 206264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336352896).

206264640 is an abundant number, since it is smaller than the sum of its proper divisors (466441152).

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

206264640 is a wasteful number, since it uses less digits than its factorization.

206264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 206264640 is about 14361.9163066772. The cubic root of 206264640 is about 590.8468543669.

The spelling of 206264640 in words is "two hundred six million, two hundred sixty-four thousand, six hundred forty".