164509056 has 224 divisors, whose sum is σ = 515065320. Its totient is φ = 52254720.

The previous prime is 164509043. The next prime is 164509057. The reversal of 164509056 is 650905461.

164509056 is a `hidden beast` number, since 1 + 645 + 0 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×164509056² = 54126459012022272, 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 164509056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164509057) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3825771 + ... + 3825813.

Almost surely, 2^164509056 is an apocalyptic number.

164509056 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 164509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257532660).

164509056 is an abundant number, since it is smaller than the sum of its proper divisors (350556264).

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

164509056 is an frugal number, since it uses more digits than its factorization.

164509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 164509056 is about 12826.1083731582. The cubic root of 164509056 is about 547.9361283826.

The spelling of 164509056 in words is "one hundred sixty-four million, five hundred nine thousand, fifty-six".