164077056 has 320 divisors, whose sum is σ = 577463040. Its totient is φ = 45342720.

The previous prime is 164077051. The next prime is 164077061. The reversal of 164077056 is 650770461.

164077056 is a `hidden beast` number, since 1 + 640 + 7 + 7 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (164077051) and next prime (164077061).

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 164077056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164077051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976791 + ... + 1976873.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 2^164077056 is an apocalyptic number.

164077056 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 164077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520).

164077056 is an abundant number, since it is smaller than the sum of its proper divisors (413385984).

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

164077056 is a wasteful number, since it uses less digits than its factorization.

164077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 164077056 is about 12809.2566529054. The cubic root of 164077056 is about 547.4560820467.

The spelling of 164077056 in words is "one hundred sixty-four million, seventy-seven thousand, fifty-six".