164280960 has 160 divisors (see below), whose sum is σ = 586862100. Its totient is φ = 43794432.

The previous prime is 164280959. The next prime is 164280971. The reversal of 164280960 is 69082461.

164280960 is a `hidden beast` number, since 1 + 642 + 8 + 0 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162409536 + 1871424 = 12744^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50256 + ... + 53424.

Almost surely, 2^164280960 is an apocalyptic number.

164280960 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 164280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293431050).

164280960 is an abundant number, since it is smaller than the sum of its proper divisors (422581140).

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

164280960 is an equidigital number, since it uses as much as digits as its factorization.

164280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 164280960 is about 12817.2134257022. The cubic root of 164280960 is about 547.6827687798.

The spelling of 164280960 in words is "one hundred sixty-four million, two hundred eighty thousand, nine hundred sixty".