164565000 has 320 divisors, whose sum is σ = 607305600. Its totient is φ = 41184000.

The previous prime is 164564969. The next prime is 164565029. The reversal of 164565000 is 565461.

It is a happy number.

164565000 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3104974 + ... + 3105026.

It is an arithmetic number, because the mean of its divisors is an integer number (1897830).

Almost surely, 2^164565000 is an apocalyptic number.

164565000 is a gapful number since it is divisible by the number (10) 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 164565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303652800).

164565000 is an abundant number, since it is smaller than the sum of its proper divisors (442740600).

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

164565000 is a wasteful number, since it uses less digits than its factorization.

164565000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 164565000 is about 12828.2890519352. The cubic root of 164565000 is about 547.9982328961.

The spelling of 164565000 in words is "one hundred sixty-four million, five hundred sixty-five thousand".