164094336 has 480 divisors, whose sum is σ = 633144600. Its totient is φ = 41803776.

The previous prime is 164094313. The next prime is 164094349. The reversal of 164094336 is 633490461.

164094336 is a `hidden beast` number, since 1 + 640 + 9 + 4 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×164094336² = 53853902214561792, which contains 22 as substring.

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 164094336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8636535 + ... + 8636553.

Almost surely, 2^164094336 is an apocalyptic number.

164094336 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 164094336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316572300).

164094336 is an abundant number, since it is smaller than the sum of its proper divisors (469050264).

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

164094336 is a wasteful number, since it uses less digits than its factorization.

164094336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 164094336 is about 12809.9311473559. The cubic root of 164094336 is about 547.4753000679.

The spelling of 164094336 in words is "one hundred sixty-four million, ninety-four thousand, three hundred thirty-six".