164914000 has 40 divisors (see below), whose sum is σ = 398766888. Its totient is φ = 65964800.

The previous prime is 164913997. The next prime is 164914031. The reversal of 164914000 is 419461.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 153462544 = 3384^2 + 12388^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39229 + ... + 43228.

Almost surely, 2^164914000 is an apocalyptic number.

164914000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164914000 is an abundant number, since it is smaller than the sum of its proper divisors (233852888).

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

164914000 is an equidigital number, since it uses as much as digits as its factorization.

164914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82480 (or 82464 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 164914000 is about 12841.8845968962. The cubic root of 164914000 is about 548.3853470942.

The spelling of 164914000 in words is "one hundred sixty-four million, nine hundred fourteen thousand".