164645712 has 240 divisors, whose sum is σ = 594247680. Its totient is φ = 41299200.

The previous prime is 164645711. The next prime is 164645749. The reversal of 164645712 is 217546461.

164645712 is a `hidden beast` number, since 1 + 6 + 4 + 645 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164645711) 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, 343489 + ... + 343967.

It is an arithmetic number, because the mean of its divisors is an integer number (2476032).

Almost surely, 2^164645712 is an apocalyptic number.

164645712 is a gapful number since it is divisible by the number (12) 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 164645712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

164645712 is an abundant number, since it is smaller than the sum of its proper divisors (429601968).

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

164645712 is a wasteful number, since it uses less digits than its factorization.

164645712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 164645712 is about 12831.4345261939. The cubic root of 164645712 is about 548.0878080475.

The spelling of 164645712 in words is "one hundred sixty-four million, six hundred forty-five thousand, seven hundred twelve".