164710656 has 216 divisors, whose sum is σ = 531227424. Its totient is φ = 48660480.

The previous prime is 164710619. The next prime is 164710681. The reversal of 164710656 is 656017461.

164710656 is a `hidden beast` number, since 1 + 647 + 1 + 0 + 6 + 5 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 164710656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1698000 + ... + 1698096.

Almost surely, 2^164710656 is an apocalyptic number.

164710656 is a gapful number since it is divisible by the number (16) 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 164710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265613712).

164710656 is an abundant number, since it is smaller than the sum of its proper divisors (366516768).

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

164710656 is a wasteful number, since it uses less digits than its factorization.

164710656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164710656 is about 12833.9649368385. The cubic root of 164710656 is about 548.1598624304.

The spelling of 164710656 in words is "one hundred sixty-four million, seven hundred ten thousand, six hundred fifty-six".