164764000 has 96 divisors (see below), whose sum is σ = 428815296. Its totient is φ = 62003200.

The previous prime is 164763943. The next prime is 164764001. The reversal of 164764000 is 467461.

It is a self number, because there is not a number n which added to its sum of digits gives 164764000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164764001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66789 + ... + 69211.

It is an arithmetic number, because the mean of its divisors is an integer number (4466826).

Almost surely, 2^164764000 is an apocalyptic number.

164764000 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 164764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214407648).

164764000 is an abundant number, since it is smaller than the sum of its proper divisors (264051296).

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

164764000 is a wasteful number, since it uses less digits than its factorization.

164764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 164764000 is about 12836.0430039791. The cubic root of 164764000 is about 548.2190326226.

The spelling of 164764000 in words is "one hundred sixty-four million, seven hundred sixty-four thousand".