164708480 has 64 divisors (see below), whose sum is σ = 403424280. Its totient is φ = 64266240.

The previous prime is 164708449. The next prime is 164708491. The reversal of 164708480 is 84807461.

It can be written as a sum of positive squares in 4 ways, for example, as 136235584 + 28472896 = 11672^2 + 5336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23102 + ... + 29378.

Almost surely, 2^164708480 is an apocalyptic number.

164708480 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 164708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201712140).

164708480 is an abundant number, since it is smaller than the sum of its proper divisors (238715800).

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

164708480 is an equidigital number, since it uses as much as digits as its factorization.

164708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 164708480 is about 12833.8801615100. The cubic root of 164708480 is about 548.1574484981.

The spelling of 164708480 in words is "one hundred sixty-four million, seven hundred eight thousand, four hundred eighty".