164986000 has 40 divisors (see below), whose sum is σ = 398940984. Its totient is φ = 65993600.

The previous prime is 164985983. The next prime is 164986001. The reversal of 164986000 is 689461.

164986000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42042256 + 122943744 = 6484^2 + 11088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (164986001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39247 + ... + 43246.

Almost surely, 2^164986000 is an apocalyptic number.

164986000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164986000 is an abundant number, since it is smaller than the sum of its proper divisors (233954984).

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

164986000 is an equidigital number, since it uses as much as digits as its factorization.

164986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82516 (or 82500 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 164986000 is about 12844.6876178442. The cubic root of 164986000 is about 548.4651422203.

The spelling of 164986000 in words is "one hundred sixty-four million, nine hundred eighty-six thousand".