164248820 has 48 divisors (see below), whose sum is σ = 354623808. Its totient is φ = 63866880.

The previous prime is 164248817. The next prime is 164248831. The reversal of 164248820 is 28842461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284372 + ... + 284948.

It is an arithmetic number, because the mean of its divisors is an integer number (7387996).

Almost surely, 2^164248820 is an apocalyptic number.

164248820 is a gapful number since it is divisible by the number (10) 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 164248820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177311904).

164248820 is an abundant number, since it is smaller than the sum of its proper divisors (190374988).

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

164248820 is a wasteful number, since it uses less digits than its factorization.

164248820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 164248820 is about 12815.9595817090. The cubic root of 164248820 is about 547.6470501503.

The spelling of 164248820 in words is "one hundred sixty-four million, two hundred forty-eight thousand, eight hundred twenty".