164350656 has 84 divisors (see below), whose sum is σ = 487375200. Its totient is φ = 52889088.

The previous prime is 164350639. The next prime is 164350657. The reversal of 164350656 is 656053461.

164350656 is a `hidden beast` number, since 1 + 643 + 5 + 0 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×164350656² = 54022276255260672, which contains 22 as substring.

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 164350656.

It is not an unprimeable number, because it can be changed into a prime (164350657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11785 + ... + 21623.

Almost surely, 2^164350656 is an apocalyptic number.

164350656 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 164350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243687600).

164350656 is an abundant number, since it is smaller than the sum of its proper divisors (323024544).

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

164350656 is a wasteful number, since it uses less digits than its factorization.

164350656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 164350656 is about 12819.9319810988. The cubic root of 164350656 is about 547.7602090818.

The spelling of 164350656 in words is "one hundred sixty-four million, three hundred fifty thousand, six hundred fifty-six".