164528000 has 256 divisors, whose sum is σ = 507911040. Its totient is φ = 51609600.

The previous prime is 164527999. The next prime is 164528003. The reversal of 164528000 is 825461.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164528003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455944 + ... + 1456056.

Almost surely, 2^164528000 is an apocalyptic number.

164528000 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 164528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

164528000 is an abundant number, since it is smaller than the sum of its proper divisors (343383040).

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

164528000 is a wasteful number, since it uses less digits than its factorization.

164528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 164528000 is about 12826.8468455813. The cubic root of 164528000 is about 547.9571600588.

The spelling of 164528000 in words is "one hundred sixty-four million, five hundred twenty-eight thousand".