164016288 has 72 divisors (see below), whose sum is σ = 481493376. Its totient is φ = 52905600.

The previous prime is 164016287. The next prime is 164016299. The reversal of 164016288 is 882610461.

164016288 is a `hidden beast` number, since 1 + 640 + 1 + 6 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (164016287) 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 11 ways as a sum of consecutive naturals, for example, 258 + ... + 18113.

It is an arithmetic number, because the mean of its divisors is an integer number (6687408).

Almost surely, 2^164016288 is an apocalyptic number.

164016288 is a gapful number since it is divisible by the number (18) 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 164016288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240746688).

164016288 is an abundant number, since it is smaller than the sum of its proper divisors (317477088).

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

164016288 is a wasteful number, since it uses less digits than its factorization.

164016288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18418 (or 18407 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 164016288 is about 12806.8843986350. The cubic root of 164016288 is about 547.3884879542.

The spelling of 164016288 in words is "one hundred sixty-four million, sixteen thousand, two hundred eighty-eight".