275961000 has 256 divisors, whose sum is σ = 1043228160. Its totient is φ = 59289600.

The previous prime is 275960981. The next prime is 275961019. The reversal of 275961000 is 169572.

It is an interprime number because it is at equal distance from previous prime (275960981) and next prime (275961019).

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

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, 356614 + ... + 357386.

It is an arithmetic number, because the mean of its divisors is an integer number (4075110).

Almost surely, 2^275961000 is an apocalyptic number.

275961000 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 275961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521614080).

275961000 is an abundant number, since it is smaller than the sum of its proper divisors (767267160).

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

275961000 is a wasteful number, since it uses less digits than its factorization.

275961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 275961000 is about 16612.0739223012. The cubic root of 275961000 is about 651.0523387548.

The spelling of 275961000 in words is "two hundred seventy-five million, nine hundred sixty-one thousand".