164275488 has 288 divisors, whose sum is σ = 557247600. Its totient is φ = 45416448.

The previous prime is 164275483. The next prime is 164275493. The reversal of 164275488 is 884572461.

164275488 is a `hidden beast` number, since 164 + 2 + 7 + 5 + 488 = 666.

It is a Cunningham number, because it is equal to 12817²-1.

It is an interprime number because it is at equal distance from previous prime (164275483) and next prime (164275493).

It can be written as a sum of positive squares in 8 ways, for example, as 49956624 + 114318864 = 7068^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (164275483) 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 47 ways as a sum of consecutive naturals, for example, 1845748 + ... + 1845836.

Almost surely, 2^164275488 is an apocalyptic number.

164275488 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 164275488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278623800).

164275488 is an abundant number, since it is smaller than the sum of its proper divisors (392972112).

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

164275488 is a wasteful number, since it uses less digits than its factorization.

164275488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 164275488 is about 12816.9999609893. Note that the first 4 decimals coincide. The cubic root of 164275488 is about 547.6766878288.

The spelling of 164275488 in words is "one hundred sixty-four million, two hundred seventy-five thousand, four hundred eighty-eight".