275268840 has 256 divisors, whose sum is σ = 1063895040. Its totient is φ = 55353600.

The previous prime is 275268797. The next prime is 275268857. The reversal of 275268840 is 48862572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 275268792 and 275268801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8879625 + ... + 8879655.

It is an arithmetic number, because the mean of its divisors is an integer number (4155840).

Almost surely, 2^275268840 is an apocalyptic number.

275268840 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 275268840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531947520).

275268840 is an abundant number, since it is smaller than the sum of its proper divisors (788626200).

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

275268840 is a wasteful number, since it uses less digits than its factorization.

275268840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 275268840 is about 16591.2278026673. The cubic root of 275268840 is about 650.5075641086.

The spelling of 275268840 in words is "two hundred seventy-five million, two hundred sixty-eight thousand, eight hundred forty".