164036736 has 192 divisors, whose sum is σ = 507911040. Its totient is φ = 50688000.

The previous prime is 164036729. The next prime is 164036737. The reversal of 164036736 is 637630461.

It is a happy number.

164036736 is a `hidden beast` number, since 1 + 640 + 3 + 6 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 164036736.

It is not an unprimeable number, because it can be changed into a prime (164036737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086261 + ... + 1086411.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^164036736 is an apocalyptic number.

164036736 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 164036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

164036736 is an abundant number, since it is smaller than the sum of its proper divisors (343874304).

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

164036736 is a wasteful number, since it uses less digits than its factorization.

164036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 164036736 is about 12807.6826943831. The cubic root of 164036736 is about 547.4112347493.

The spelling of 164036736 in words is "one hundred sixty-four million, thirty-six thousand, seven hundred thirty-six".