164030760 has 96 divisors (see below), whose sum is σ = 543221640. Its totient is φ = 42911232.

The previous prime is 164030749. The next prime is 164030771. The reversal of 164030760 is 67030461.

It is an interprime number because it is at equal distance from previous prime (164030749) and next prime (164030771).

It can be written as a sum of positive squares in 4 ways, for example, as 154703844 + 9326916 = 12438^2 + 3054^2 .

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 23 ways as a sum of consecutive naturals, for example, 14782 + ... + 23378.

Almost surely, 2^164030760 is an apocalyptic number.

164030760 is a gapful number since it is divisible by the number (10) 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 164030760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271610820).

164030760 is an abundant number, since it is smaller than the sum of its proper divisors (379190880).

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

164030760 is a wasteful number, since it uses less digits than its factorization.

164030760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8667 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 164030760 is about 12807.4493947858. The cubic root of 164030760 is about 547.4045871139.

It can be divided in two parts, 1640 and 30760, that added together give a square (32400 = 180²).

The spelling of 164030760 in words is "one hundred sixty-four million, thirty thousand, seven hundred sixty".