164415636 has 192 divisors, whose sum is σ = 563189760. Its totient is φ = 40158720.

The previous prime is 164415547. The next prime is 164415649. The reversal of 164415636 is 636514461.

It is a happy number.

164415636 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 15 + 636 = 666.

It is a super-3 number, since 3×164415636³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164415636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140791 + ... + 141953.

It is an arithmetic number, because the mean of its divisors is an integer number (2933280).

Almost surely, 2^164415636 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 164415636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281594880).

164415636 is an abundant number, since it is smaller than the sum of its proper divisors (398774124).

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

164415636 is a wasteful number, since it uses less digits than its factorization.

164415636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164415636 is about 12822.4660654649. The cubic root of 164415636 is about 547.8323896445.

The spelling of 164415636 in words is "one hundred sixty-four million, four hundred fifteen thousand, six hundred thirty-six".