206866464 has 96 divisors (see below), whose sum is σ = 635120640. Its totient is φ = 57722112.

The previous prime is 206866459. The next prime is 206866469. The reversal of 206866464 is 464668602.

It is an interprime number because it is at equal distance from previous prime (206866459) and next prime (206866469).

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

It is a super-3 number, since 3×206866464³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (206866469) 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, 25317 + ... + 32475.

It is an arithmetic number, because the mean of its divisors is an integer number (6615840).

Almost surely, 2^206866464 is an apocalyptic number.

206866464 is a gapful number since it is divisible by the number (24) 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 206866464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317560320).

206866464 is an abundant number, since it is smaller than the sum of its proper divisors (428254176).

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

206866464 is a wasteful number, since it uses less digits than its factorization.

206866464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 206866464 is about 14382.8531244673. The cubic root of 206866464 is about 591.4209397468.

The spelling of 206866464 in words is "two hundred six million, eight hundred sixty-six thousand, four hundred sixty-four".