164116440 has 96 divisors (see below), whose sum is σ = 546436800. Its totient is φ = 42693120.

The previous prime is 164116439. The next prime is 164116451. The reversal of 164116440 is 44611461.

164116440 is a `hidden beast` number, since 1 + 6 + 4 + 11 + 644 + 0 = 666.

164116440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9201 + ... + 20319.

It is an arithmetic number, because the mean of its divisors is an integer number (5692050).

Almost surely, 2^164116440 is an apocalyptic number.

164116440 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 164116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273218400).

164116440 is an abundant number, since it is smaller than the sum of its proper divisors (382320360).

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

164116440 is a wasteful number, since it uses less digits than its factorization.

164116440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11177 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164116440 is about 12810.7938864069. The cubic root of 164116440 is about 547.4998811534.

It can be divided in two parts, 1641 and 16440, that added together give a palindrome (18081).

The spelling of 164116440 in words is "one hundred sixty-four million, one hundred sixteen thousand, four hundred forty".