164149440 has 224 divisors, whose sum is σ = 641786880. Its totient is φ = 34615296.

The previous prime is 164149423. The next prime is 164149451. The reversal of 164149440 is 44941461.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86421 + ... + 88299.

It is an arithmetic number, because the mean of its divisors is an integer number (2865120).

Almost surely, 2^164149440 is an apocalyptic number.

164149440 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 164149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320893440).

164149440 is an abundant number, since it is smaller than the sum of its proper divisors (477637440).

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

164149440 is a wasteful number, since it uses less digits than its factorization.

164149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 164149440 is about 12812.0817980530. The cubic root of 164149440 is about 547.5365751926.

The spelling of 164149440 in words is "one hundred sixty-four million, one hundred forty-nine thousand, four hundred forty".