164656660 has 144 divisors (see below), whose sum is σ = 436665600. Its totient is φ = 51819264.

The previous prime is 164656649. The next prime is 164656663. The reversal of 164656660 is 66656461.

It is a super-2 number, since 2×164656660² = 54223631364711200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164656663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688821 + ... + 689059.

It is an arithmetic number, because the mean of its divisors is an integer number (3032400).

Almost surely, 2^164656660 is an apocalyptic number.

164656660 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 164656660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218332800).

164656660 is an abundant number, since it is smaller than the sum of its proper divisors (272008940).

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

164656660 is a wasteful number, since it uses less digits than its factorization.

164656660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 164656660 is about 12831.8611276775. The cubic root of 164656660 is about 548.0999560151.

The spelling of 164656660 in words is "one hundred sixty-four million, six hundred fifty-six thousand, six hundred sixty".