164523960 has 320 divisors, whose sum is σ = 611582400. Its totient is φ = 39481344.

The previous prime is 164523901. The next prime is 164523967. The reversal of 164523960 is 69325461.

It is a happy number.

164523960 is a `hidden beast` number, since 1 + 645 + 2 + 3 + 9 + 6 + 0 = 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 (164523967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1597269 + ... + 1597371.

It is an arithmetic number, because the mean of its divisors is an integer number (1911195).

Almost surely, 2^164523960 is an apocalyptic number.

164523960 is a gapful number since it is divisible by the number (10) 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 164523960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305791200).

164523960 is an abundant number, since it is smaller than the sum of its proper divisors (447058440).

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

164523960 is a wasteful number, since it uses less digits than its factorization.

164523960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 164523960 is about 12826.6893624193. The cubic root of 164523960 is about 547.9526749761.

The spelling of 164523960 in words is "one hundred sixty-four million, five hundred twenty-three thousand, nine hundred sixty".