164426240 has 80 divisors (see below), whose sum is σ = 430151040. Its totient is φ = 59781120.

The previous prime is 164426231. The next prime is 164426243. The reversal of 164426240 is 42624461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×164426240³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164426243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25241 + ... + 31079.

It is an arithmetic number, because the mean of its divisors is an integer number (5376888).

Almost surely, 2^164426240 is an apocalyptic number.

164426240 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 164426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215075520).

164426240 is an abundant number, since it is smaller than the sum of its proper divisors (265724800).

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

164426240 is an equidigital number, since it uses as much as digits as its factorization.

164426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 164426240 is about 12822.8795518011. The cubic root of 164426240 is about 547.8441668897.

The spelling of 164426240 in words is "one hundred sixty-four million, four hundred twenty-six thousand, two hundred forty".