275129064 has 96 divisors (see below), whose sum is σ = 861981120. Its totient is φ = 77649408.

The previous prime is 275129053. The next prime is 275129087. The reversal of 275129064 is 460921572.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38544 + ... + 45120.

It is an arithmetic number, because the mean of its divisors is an integer number (8978970).

Almost surely, 2^275129064 is an apocalyptic number.

275129064 is a gapful number since it is divisible by the number (24) 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 275129064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430990560).

275129064 is an abundant number, since it is smaller than the sum of its proper divisors (586852056).

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

275129064 is a wasteful number, since it uses less digits than its factorization.

275129064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 275129064 is about 16587.0149213172. The cubic root of 275129064 is about 650.3974405658.

The spelling of 275129064 in words is "two hundred seventy-five million, one hundred twenty-nine thousand, sixty-four".