164239488 has 320 divisors, whose sum is σ = 584517120. Its totient is φ = 44789760.

The previous prime is 164239483. The next prime is 164239501. The reversal of 164239488 is 884932461.

It is a happy number.

164239488 is a `hidden beast` number, since 164 + 2 + 3 + 9 + 488 = 666.

It is a super-5 number, since 5×164239488⁵ (a number of 42 digits) contains 55555 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (164239483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249820 + ... + 2249892.

It is an arithmetic number, because the mean of its divisors is an integer number (1826616).

Almost surely, 2^164239488 is an apocalyptic number.

164239488 is a gapful number since it is divisible by the number (18) 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 164239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292258560).

164239488 is an abundant number, since it is smaller than the sum of its proper divisors (420277632).

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

164239488 is an equidigital number, since it uses as much as digits as its factorization.

164239488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 164239488 is about 12815.5954992345. The cubic root of 164239488 is about 547.6366782055.

The spelling of 164239488 in words is "one hundred sixty-four million, two hundred thirty-nine thousand, four hundred eighty-eight".