164116410 has 64 divisors (see below), whose sum is σ = 402924672. Its totient is φ = 42771456.

The previous prime is 164116397. The next prime is 164116439. The reversal of 164116410 is 14611461.

Added to its reverse (14611461) it gives a triangular number (178727871 = T₁₈₉₀₆).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299757 + ... + 300303.

It is an arithmetic number, because the mean of its divisors is an integer number (6295698).

Almost surely, 2^164116410 is an apocalyptic number.

164116410 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 164116410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201462336).

164116410 is an abundant number, since it is smaller than the sum of its proper divisors (238808262).

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

164116410 is a wasteful number, since it uses less digits than its factorization.

164116410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 164116410 is about 12810.7927155192. The cubic root of 164116410 is about 547.4998477930.

Adding to 164116410 its reverse (14611461), we get a palindrome (178727871).

The spelling of 164116410 in words is "one hundred sixty-four million, one hundred sixteen thousand, four hundred ten".