164127456 has 36 divisors (see below), whose sum is σ = 466738272. Its totient is φ = 54709056.

The previous prime is 164127413. The next prime is 164127461. The reversal of 164127456 is 654721461.

164127456 is a `hidden beast` number, since 1 + 641 + 2 + 7 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 164127456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284656 + ... + 285231.

It is an arithmetic number, because the mean of its divisors is an integer number (12964952).

Almost surely, 2^164127456 is an apocalyptic number.

164127456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164127456 is an abundant number, since it is smaller than the sum of its proper divisors (302610816).

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

164127456 is a wasteful number, since it uses less digits than its factorization.

164127456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569903 (or 569892 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 164127456 is about 12811.2238291273. The cubic root of 164127456 is about 547.5121308377.

The spelling of 164127456 in words is "one hundred sixty-four million, one hundred twenty-seven thousand, four hundred fifty-six".