164511360 has 240 divisors, whose sum is σ = 615416490. Its totient is φ = 40495104.

The previous prime is 164511353. The next prime is 164511371. The reversal of 164511360 is 63115461.

164511360 is a `hidden beast` number, since 1 + 645 + 1 + 13 + 6 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 32353344 + 132158016 = 5688^2 + 11496^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 29 ways as a sum of consecutive naturals, for example, 12654714 + ... + 12654726.

Almost surely, 2^164511360 is an apocalyptic number.

164511360 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 164511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307708245).

164511360 is an abundant number, since it is smaller than the sum of its proper divisors (450905130).

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

164511360 is an frugal number, since it uses more digits than its factorization.

164511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 164511360 is about 12826.1981896429. The cubic root of 164511360 is about 547.9386863754.

It can be divided in two parts, 16 and 4511360, that added together give a square (4511376 = 2124²).

The spelling of 164511360 in words is "one hundred sixty-four million, five hundred eleven thousand, three hundred sixty".