164079048 has 144 divisors (see below), whose sum is σ = 494983440. Its totient is φ = 45185280.

The previous prime is 164079037. The next prime is 164079061. The reversal of 164079048 is 840970461.

It is a happy number.

164079048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164078997 and 164079015.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1976815 + ... + 1976897.

It is an arithmetic number, because the mean of its divisors is an integer number (3437385).

Almost surely, 2^164079048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164079048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247491720).

164079048 is an abundant number, since it is smaller than the sum of its proper divisors (330904392).

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

164079048 is a wasteful number, since it uses less digits than its factorization.

164079048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 164079048 is about 12809.3344089379. The cubic root of 164079048 is about 547.4582975263.

The spelling of 164079048 in words is "one hundred sixty-four million, seventy-nine thousand, forty-eight".