164735856 has 100 divisors (see below), whose sum is σ = 483128800. Its totient is φ = 54183168.

The previous prime is 164735839. The next prime is 164735873. The reversal of 164735856 is 658537461.

164735856 is a `hidden beast` number, since 1 + 64 + 7 + 3 + 585 + 6 = 666.

164735856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164735839) and next prime (164735873).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101580 + ... + 103188.

It is an arithmetic number, because the mean of its divisors is an integer number (4831288).

Almost surely, 2^164735856 is an apocalyptic number.

164735856 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 164735856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241564400).

164735856 is an abundant number, since it is smaller than the sum of its proper divisors (318392944).

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

164735856 is a wasteful number, since it uses less digits than its factorization.

164735856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1693 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 164735856 is about 12834.9466691529. The cubic root of 164735856 is about 548.1878163476.

The spelling of 164735856 in words is "one hundred sixty-four million, seven hundred thirty-five thousand, eight hundred fifty-six".