164652768 has 288 divisors, whose sum is σ = 577414656. Its totient is φ = 43490304.

The previous prime is 164652767. The next prime is 164652781. The reversal of 164652768 is 867256461.

164652768 is a `hidden beast` number, since 1 + 64 + 6 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×164652768² = 54221068020123648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164652767) 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, 2457471 + ... + 2457537.

It is an arithmetic number, because the mean of its divisors is an integer number (2004912).

Almost surely, 2^164652768 is an apocalyptic number.

164652768 is a gapful number since it is divisible by the number (18) 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 164652768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328).

164652768 is an abundant number, since it is smaller than the sum of its proper divisors (412761888).

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

164652768 is a wasteful number, since it uses less digits than its factorization.

164652768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 164652768 is about 12831.7094730203. The cubic root of 164652768 is about 548.0956374898.

The spelling of 164652768 in words is "one hundred sixty-four million, six hundred fifty-two thousand, seven hundred sixty-eight".