206426976 has 96 divisors (see below), whose sum is σ = 626911488. Its totient is φ = 58252800.

The previous prime is 206426951. The next prime is 206426993. The reversal of 206426976 is 679624602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×206426976² = 85224192841009152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53926 + ... + 57626.

It is an arithmetic number, because the mean of its divisors is an integer number (6530328).

Almost surely, 2^206426976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206426976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313455744).

206426976 is an abundant number, since it is smaller than the sum of its proper divisors (420484512).

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

206426976 is a wasteful number, since it uses less digits than its factorization.

206426976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 206426976 is about 14367.5668086145. The cubic root of 206426976 is about 591.0018180149.

The spelling of 206426976 in words is "two hundred six million, four hundred twenty-six thousand, nine hundred seventy-six".