164401116 has 96 divisors (see below), whose sum is σ = 440052480. Its totient is φ = 47308800.

The previous prime is 164401109. The next prime is 164401117. The reversal of 164401116 is 611104461.

It is a super-3 number, since 3×164401116³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164401117) 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, 256156 + ... + 256796.

It is an arithmetic number, because the mean of its divisors is an integer number (4583880).

Almost surely, 2^164401116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164401116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220026240).

164401116 is an abundant number, since it is smaller than the sum of its proper divisors (275651364).

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

164401116 is a wasteful number, since it uses less digits than its factorization.

164401116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

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

The square root of 164401116 is about 12821.8998592252. The cubic root of 164401116 is about 547.8162623048.

Adding to 164401116 its reverse (611104461), we get a palindrome (775505577).

The spelling of 164401116 in words is "one hundred sixty-four million, four hundred one thousand, one hundred sixteen".