164614842 has 80 divisors (see below), whose sum is σ = 446402880. Its totient is φ = 44260992.

The previous prime is 164614837. The next prime is 164614871. The reversal of 164614842 is 248416461.

It is a happy number.

164614842 is a `hidden beast` number, since 1 + 646 + 1 + 4 + 8 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 164614797 and 164614806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15009 + ... + 23547.

It is an arithmetic number, because the mean of its divisors is an integer number (5580036).

Almost surely, 2^164614842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164614842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223201440).

164614842 is an abundant number, since it is smaller than the sum of its proper divisors (281788038).

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

164614842 is a wasteful number, since it uses less digits than its factorization.

164614842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8577 (or 8568 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 164614842 is about 12830.2315645510. The cubic root of 164614842 is about 548.0535516068.

The spelling of 164614842 in words is "one hundred sixty-four million, six hundred fourteen thousand, eight hundred forty-two".