164627316 has 120 divisors (see below), whose sum is σ = 509013120. Its totient is φ = 45396288.

The previous prime is 164627233. The next prime is 164627317. The reversal of 164627316 is 613726461.

It is a happy number.

164627316 is a `hidden beast` number, since 1 + 646 + 2 + 7 + 3 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164627317) 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 39 ways as a sum of consecutive naturals, for example, 64521 + ... + 67023.

It is an arithmetic number, because the mean of its divisors is an integer number (4241776).

Almost surely, 2^164627316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164627316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254506560).

164627316 is an abundant number, since it is smaller than the sum of its proper divisors (344385804).

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

164627316 is a wasteful number, since it uses less digits than its factorization.

164627316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2544 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 164627316 is about 12830.7176728350. The cubic root of 164627316 is about 548.0673945209.

The spelling of 164627316 in words is "one hundred sixty-four million, six hundred twenty-seven thousand, three hundred sixteen".