164285744 has 40 divisors (see below), whose sum is σ = 366048000. Its totient is φ = 69968448.

The previous prime is 164285741. The next prime is 164285747. The reversal of 164285744 is 447582461.

It is an interprime number because it is at equal distance from previous prime (164285741) and next prime (164285747).

It is not an unprimeable number, because it can be changed into a prime (164285741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13757 + ... + 22755.

It is an arithmetic number, because the mean of its divisors is an integer number (9151200).

Almost surely, 2^164285744 is an apocalyptic number.

164285744 is a gapful number since it is divisible by the number (14) 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 164285744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183024000).

164285744 is an abundant number, since it is smaller than the sum of its proper divisors (201762256).

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

164285744 is a wasteful number, since it uses less digits than its factorization.

164285744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9171 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 164285744 is about 12817.4000483717. The cubic root of 164285744 is about 547.6880850561.

The spelling of 164285744 in words is "one hundred sixty-four million, two hundred eighty-five thousand, seven hundred forty-four".