275064240 has 160 divisors (see below), whose sum is σ = 960509952. Its totient is φ = 64512000.

The previous prime is 275064227. The next prime is 275064247. The reversal of 275064240 is 42460572.

It is a super-2 number, since 2×275064240² = 151320672253555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 275064198 and 275064207.

It is not an unprimeable number, because it can be changed into a prime (275064247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80160 + ... + 83520.

Almost surely, 2^275064240 is an apocalyptic number.

275064240 is a gapful number since it is divisible by the number (20) 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 275064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480254976).

275064240 is an abundant number, since it is smaller than the sum of its proper divisors (685445712).

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

275064240 is a wasteful number, since it uses less digits than its factorization.

275064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 275064240 is about 16585.0607475523. The cubic root of 275064240 is about 650.3463558437.

The spelling of 275064240 in words is "two hundred seventy-five million, sixty-four thousand, two hundred forty".