164073280 has 112 divisors (see below), whose sum is σ = 452079360. Its totient is φ = 55554048.

The previous prime is 164073263. The next prime is 164073289. The reversal of 164073280 is 82370461.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164073289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198949 + ... + 199771.

Almost surely, 2^164073280 is an apocalyptic number.

164073280 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 164073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226039680).

164073280 is an abundant number, since it is smaller than the sum of its proper divisors (288006080).

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

164073280 is an equidigital number, since it uses as much as digits as its factorization.

164073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 164073280 is about 12809.1092586487. The cubic root of 164073280 is about 547.4518823736.

The spelling of 164073280 in words is "one hundred sixty-four million, seventy-three thousand, two hundred eighty".