164630016 has 80 divisors (see below), whose sum is σ = 487357200. Its totient is φ = 54872064.

The previous prime is 164630009. The next prime is 164630017. The reversal of 164630016 is 610036461.

164630016 is a `hidden beast` number, since 1 + 646 + 3 + 0 + 0 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164630017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7870 + ... + 19778.

It is an arithmetic number, because the mean of its divisors is an integer number (6091965).

Almost surely, 2^164630016 is an apocalyptic number.

164630016 is a gapful number since it is divisible by the number (16) 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 164630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243678600).

164630016 is an abundant number, since it is smaller than the sum of its proper divisors (322727184).

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

164630016 is an equidigital number, since it uses as much as digits as its factorization.

164630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 164630016 is about 12830.8228886537. The cubic root of 164630016 is about 548.0703907306.

Adding to 164630016 its reverse (610036461), we get a palindrome (774666477).

The spelling of 164630016 in words is "one hundred sixty-four million, six hundred thirty thousand, sixteen".