164610000 has 300 divisors, whose sum is σ = 604306560. Its totient is φ = 41760000.

The previous prime is 164609987. The next prime is 164610001. The reversal of 164610000 is 16461.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164610001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2789971 + ... + 2790029.

Almost surely, 2^164610000 is an apocalyptic number.

164610000 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 164610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302153280).

164610000 is an abundant number, since it is smaller than the sum of its proper divisors (439696560).

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

164610000 is a wasteful number, since it uses less digits than its factorization.

164610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164610000 is about 12830.0428682059. The cubic root of 164610000 is about 548.0481780506.

Adding to 164610000 its reverse (16461), we get a palindrome (164626461).

Multiplying 164610000 by its reverse (16461), we get a square (2709645210000 = 1646100²).

164610000 divided by its reverse (16461) gives a 4-th power (10000 = 10⁴).

The spelling of 164610000 in words is "one hundred sixty-four million, six hundred ten thousand".