206858080 has 96 divisors (see below), whose sum is σ = 574203168. Its totient is φ = 69427200.

The previous prime is 206858059. The next prime is 206858101. The reversal of 206858080 is 80858602.

It is an interprime number because it is at equal distance from previous prime (206858059) and next prime (206858101).

It is a super-2 number, since 2×206858080² = 85580530522572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18360 + ... + 27400.

It is an arithmetic number, because the mean of its divisors is an integer number (5981283).

Almost surely, 2^206858080 is an apocalyptic number.

206858080 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 206858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287101584).

206858080 is an abundant number, since it is smaller than the sum of its proper divisors (367345088).

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

206858080 is a wasteful number, since it uses less digits than its factorization.

206858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 206858080 is about 14382.5616633477. The cubic root of 206858080 is about 591.4129498257.

The spelling of 206858080 in words is "two hundred six million, eight hundred fifty-eight thousand, eighty".