164455776 has 72 divisors (see below), whose sum is σ = 469090440. Its totient is φ = 54652416.

The previous prime is 164455771. The next prime is 164455777. The reversal of 164455776 is 677554461.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164455771) 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 11 ways as a sum of consecutive naturals, for example, 126940 + ... + 128228.

It is an arithmetic number, because the mean of its divisors is an integer number (6515145).

Almost surely, 2^164455776 is an apocalyptic number.

164455776 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 164455776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234545220).

164455776 is an abundant number, since it is smaller than the sum of its proper divisors (304634664).

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

164455776 is a wasteful number, since it uses less digits than its factorization.

164455776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1737 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 164455776 is about 12824.0311914780. The cubic root of 164455776 is about 547.8769681355.

The spelling of 164455776 in words is "one hundred sixty-four million, four hundred fifty-five thousand, seven hundred seventy-six".