164312010 has 64 divisors (see below), whose sum is σ = 448882560. Its totient is φ = 42744960.

The previous prime is 164312003. The next prime is 164312011. The reversal of 164312010 is 10213461.

It is a happy number.

164312010 is a `hidden beast` number, since 1 + 643 + 1 + 20 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (164312011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3649 + ... + 18491.

It is an arithmetic number, because the mean of its divisors is an integer number (7013790).

Almost surely, 2^164312010 is an apocalyptic number.

164312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224441280).

164312010 is an abundant number, since it is smaller than the sum of its proper divisors (284570550).

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

164312010 is a wasteful number, since it uses less digits than its factorization.

164312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14900 (or 14894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164312010 is about 12818.4246301954. The cubic root of 164312010 is about 547.7172716191.

Adding to 164312010 its reverse (10213461), we get a palindrome (174525471).

The spelling of 164312010 in words is "one hundred sixty-four million, three hundred twelve thousand, ten".