164205640 has 32 divisors (see below), whose sum is σ = 370126080. Its totient is φ = 65564352.

The previous prime is 164205637. The next prime is 164205647. The reversal of 164205640 is 46502461.

It is a junction number, because it is equal to n+sod(n) for n = 164205599 and 164205608.

It is not an unprimeable number, because it can be changed into a prime (164205647) 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 7 ways as a sum of consecutive naturals, for example, 20899 + ... + 27661.

It is an arithmetic number, because the mean of its divisors is an integer number (11566440).

Almost surely, 2^164205640 is an apocalyptic number.

164205640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164205640 is an abundant number, since it is smaller than the sum of its proper divisors (205920440).

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

164205640 is a wasteful number, since it uses less digits than its factorization.

164205640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 164205640 is about 12814.2748526789. The cubic root of 164205640 is about 547.5990549355.

The spelling of 164205640 in words is "one hundred sixty-four million, two hundred five thousand, six hundred forty".