206914164 has 48 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 65037280.

The previous prime is 206914153. The next prime is 206914189. The reversal of 206914164 is 461419602.

It is a super-3 number, since 3×206914164³ (a number of 26 digits) contains 333 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, 14317 + ... + 24875.

It is an arithmetic number, because the mean of its divisors is an integer number (10644480).

Almost surely, 2^206914164 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 206914164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

206914164 is an abundant number, since it is smaller than the sum of its proper divisors (304020876).

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

206914164 is a wasteful number, since it uses less digits than its factorization.

206914164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 206914164 is about 14384.5112534281. The cubic root of 206914164 is about 591.4663935631.

The spelling of 206914164 in words is "two hundred six million, nine hundred fourteen thousand, one hundred sixty-four".