164275776 has 196 divisors, whose sum is σ = 559685952. Its totient is φ = 46842624.

The previous prime is 164275757. The next prime is 164275799. The reversal of 164275776 is 677572461.

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

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 27 ways as a sum of consecutive naturals, for example, 326341 + ... + 326843.

Almost surely, 2^164275776 is an apocalyptic number.

164275776 is a gapful number since it is divisible by the number (16) 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 164275776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279842976).

164275776 is an abundant number, since it is smaller than the sum of its proper divisors (395410176).

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

164275776 is an frugal number, since it uses more digits than its factorization.

164275776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 515 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 164275776 is about 12817.0111960628. The cubic root of 164275776 is about 547.6770078822.

The spelling of 164275776 in words is "one hundred sixty-four million, two hundred seventy-five thousand, seven hundred seventy-six".