275164164 has 108 divisors (see below), whose sum is σ = 770961100. Its totient is φ = 82684800.

The previous prime is 275164163. The next prime is 275164171. The reversal of 275164164 is 461461572.

275164164 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 641 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79388100 + 195776064 = 8910^2 + 13992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (275164163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 788262 + ... + 788610.

Almost surely, 2^275164164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275164164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385480550).

275164164 is an abundant number, since it is smaller than the sum of its proper divisors (495796936).

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

275164164 is a wasteful number, since it uses less digits than its factorization.

275164164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 275164164 is about 16588.0729441367. The cubic root of 275164164 is about 650.4250978637.

The spelling of 275164164 in words is "two hundred seventy-five million, one hundred sixty-four thousand, one hundred sixty-four".