164571552 has 72 divisors (see below), whose sum is σ = 471481920. Its totient is φ = 54449280.

The previous prime is 164571551. The next prime is 164571571. The reversal of 164571552 is 255175461.

164571552 is a `hidden beast` number, since 1 + 645 + 7 + 1 + 5 + 5 + 2 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (164571551) 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, 37977 + ... + 42087.

It is an arithmetic number, because the mean of its divisors is an integer number (6548360).

Almost surely, 2^164571552 is an apocalyptic number.

164571552 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 164571552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235740960).

164571552 is an abundant number, since it is smaller than the sum of its proper divisors (306910368).

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

164571552 is a wasteful number, since it uses less digits than its factorization.

164571552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4255 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 164571552 is about 12828.5444224978. The cubic root of 164571552 is about 548.0055054769.

The spelling of 164571552 in words is "one hundred sixty-four million, five hundred seventy-one thousand, five hundred fifty-two".