164825856 has 108 divisors (see below), whose sum is σ = 511883008. Its totient is φ = 50706432.

The previous prime is 164825849. The next prime is 164825867. The reversal of 164825856 is 658528461.

164825856 is a `hidden beast` number, since 1 + 64 + 8 + 2 + 585 + 6 = 666.

It is a super-2 number, since 2×164825856² = 54335125612265472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27201 + ... + 32703.

Almost surely, 2^164825856 is an apocalyptic number.

164825856 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 164825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255941504).

164825856 is an abundant number, since it is smaller than the sum of its proper divisors (347057152).

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

164825856 is a wasteful number, since it uses less digits than its factorization.

164825856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5521 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 164825856 is about 12838.4522431639. The cubic root of 164825856 is about 548.2876285007.

The spelling of 164825856 in words is "one hundred sixty-four million, eight hundred twenty-five thousand, eight hundred fifty-six".