164550456 has 96 divisors (see below), whose sum is σ = 512703360. Its totient is φ = 46702656.

The previous prime is 164550439. The next prime is 164550457. The reversal of 164550456 is 654055461.

164550456 is a `hidden beast` number, since 1 + 64 + 550 + 45 + 6 = 666.

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 164550456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164550457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81151 + ... + 83153.

It is an arithmetic number, because the mean of its divisors is an integer number (5340660).

Almost surely, 2^164550456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164550456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256351680).

164550456 is an abundant number, since it is smaller than the sum of its proper divisors (348152904).

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

164550456 is a wasteful number, since it uses less digits than its factorization.

164550456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 164550456 is about 12827.7221672439. The cubic root of 164550456 is about 547.9820886752.

The spelling of 164550456 in words is "one hundred sixty-four million, five hundred fifty thousand, four hundred fifty-six".