164770848 has 120 divisors (see below), whose sum is σ = 528731280. Its totient is φ = 49921920.

The previous prime is 164770829. The next prime is 164770849. The reversal of 164770848 is 848077461.

It is not an unprimeable number, because it can be changed into a prime (164770849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25623 + ... + 31401.

It is an arithmetic number, because the mean of its divisors is an integer number (4406094).

Almost surely, 2^164770848 is an apocalyptic number.

164770848 is a gapful number since it is divisible by the number (18) 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 164770848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264365640).

164770848 is an abundant number, since it is smaller than the sum of its proper divisors (363960432).

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

164770848 is a wasteful number, since it uses less digits than its factorization.

164770848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 164770848 is about 12836.3097500800. The cubic root of 164770848 is about 548.2266276311.

The spelling of 164770848 in words is "one hundred sixty-four million, seven hundred seventy thousand, eight hundred forty-eight".