164007280 has 40 divisors (see below), whose sum is σ = 383904000. Its totient is φ = 65157888.

The previous prime is 164007271. The next prime is 164007317. The reversal of 164007280 is 82700461.

164007280 = T₁₀₁ + T₁₀₂ + ... + T₉₉₄.

164007280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5041 + ... + 18799.

It is an arithmetic number, because the mean of its divisors is an integer number (9597600).

Almost surely, 2^164007280 is an apocalyptic number.

164007280 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 164007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191952000).

164007280 is an abundant number, since it is smaller than the sum of its proper divisors (219896720).

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

164007280 is a wasteful number, since it uses less digits than its factorization.

164007280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921 (or 13915 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 164007280 is about 12806.5327079581. The cubic root of 164007280 is about 547.3784666614.

The spelling of 164007280 in words is "one hundred sixty-four million, seven thousand, two hundred eighty".