206642436 has 96 divisors (see below), whose sum is σ = 647420928. Its totient is φ = 49541760.

The previous prime is 206642399. The next prime is 206642437. The reversal of 206642436 is 634246602.

It is a super-3 number, since 3×206642436³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 206642397 and 206642406.

It is not an unprimeable number, because it can be changed into a prime (206642437) 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, 3411 + ... + 20613.

It is an arithmetic number, because the mean of its divisors is an integer number (6743968).

Almost surely, 2^206642436 is an apocalyptic number.

206642436 is a gapful number since it is divisible by the number (26) 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 206642436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323710464).

206642436 is an abundant number, since it is smaller than the sum of its proper divisors (440778492).

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

206642436 is a wasteful number, since it uses less digits than its factorization.

206642436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17241 (or 17239 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 206642436 is about 14375.0629911663. The cubic root of 206642436 is about 591.2073676588.

The spelling of 206642436 in words is "two hundred six million, six hundred forty-two thousand, four hundred thirty-six".