275880864 has 96 divisors (see below), whose sum is σ = 832204800. Its totient is φ = 78388992.

The previous prime is 275880859. The next prime is 275880881. The reversal of 275880864 is 468088572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×275880864² = 152220502242772992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132697 + ... + 134759.

It is an arithmetic number, because the mean of its divisors is an integer number (8668800).

Almost surely, 2^275880864 is an apocalyptic number.

275880864 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 275880864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416102400).

275880864 is an abundant number, since it is smaller than the sum of its proper divisors (556323936).

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

275880864 is a wasteful number, since it uses less digits than its factorization.

275880864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 275880864 is about 16609.6617665743. The cubic root of 275880864 is about 650.9893132051.

The spelling of 275880864 in words is "two hundred seventy-five million, eight hundred eighty thousand, eight hundred sixty-four".