206906832 has 80 divisors (see below), whose sum is σ = 647904960. Its totient is φ = 62697600.

The previous prime is 206906807. The next prime is 206906837. The reversal of 206906832 is 238609602.

It is a super-3 number, since 3×206906832³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206906837) 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, 17019 + ... + 26522.

It is an arithmetic number, because the mean of its divisors is an integer number (8098812).

Almost surely, 2^206906832 is an apocalyptic number.

206906832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

206906832 is an abundant number, since it is smaller than the sum of its proper divisors (440998128).

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

206906832 is a wasteful number, since it uses less digits than its factorization.

206906832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43569 (or 43557 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 206906832 is about 14384.2563937105. The cubic root of 206906832 is about 591.4594072799.

The spelling of 206906832 in words is "two hundred six million, nine hundred six thousand, eight hundred thirty-two".