164684016 has 140 divisors (see below), whose sum is σ = 547007152. Its totient is φ = 47029248.

The previous prime is 164683999. The next prime is 164684017. The reversal of 164684016 is 610486461.

164684016 is a `hidden beast` number, since 1 + 646 + 8 + 4 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164684017) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80640 + ... + 82656.

Almost surely, 2^164684016 is an apocalyptic number.

164684016 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 164684016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273503576).

164684016 is an abundant number, since it is smaller than the sum of its proper divisors (382323136).

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

164684016 is an equidigital number, since it uses as much as digits as its factorization.

164684016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164684016 is about 12832.9270238711. The cubic root of 164684016 is about 548.1303080460.

The spelling of 164684016 in words is "one hundred sixty-four million, six hundred eighty-four thousand, sixteen".