164477312 has 64 divisors (see below), whose sum is σ = 350198640. Its totient is φ = 76677120.

The previous prime is 164477311. The next prime is 164477333. The reversal of 164477312 is 213774461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164477311) 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 7 ways as a sum of consecutive naturals, for example, 284768 + ... + 285344.

Almost surely, 2^164477312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175099320).

164477312 is an abundant number, since it is smaller than the sum of its proper divisors (185721328).

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

164477312 is a wasteful number, since it uses less digits than its factorization.

164477312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 164477312 is about 12824.8708375562. The cubic root of 164477312 is about 547.9008824945.

The spelling of 164477312 in words is "one hundred sixty-four million, four hundred seventy-seven thousand, three hundred twelve".