164225736 has 48 divisors (see below), whose sum is σ = 448051500. Its totient is φ = 54339072.

The previous prime is 164225713. The next prime is 164225741. The reversal of 164225736 is 637522461.

164225736 is a `hidden beast` number, since 1 + 64 + 22 + 573 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158608836 + 5616900 = 12594^2 + 2370^2 .

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 164225736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1540 + ... + 18188.

Almost surely, 2^164225736 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 164225736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224025750).

164225736 is an abundant number, since it is smaller than the sum of its proper divisors (283825764).

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

164225736 is a wasteful number, since it uses less digits than its factorization.

164225736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16798 (or 16791 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 164225736 is about 12815.0589542148. The cubic root of 164225736 is about 547.6213929861.

The spelling of 164225736 in words is "one hundred sixty-four million, two hundred twenty-five thousand, seven hundred thirty-six".