275768064 has 432 divisors, whose sum is σ = 999957504. Its totient is φ = 74649600.

The previous prime is 275768057. The next prime is 275768083. The reversal of 275768064 is 460867572.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8895729 + ... + 8895759.

Almost surely, 2^275768064 is an apocalyptic number.

275768064 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 275768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499978752).

275768064 is an abundant number, since it is smaller than the sum of its proper divisors (724189440).

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

275768064 is a wasteful number, since it uses less digits than its factorization.

275768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 275768064 is about 16606.2658054121. The cubic root of 275768064 is about 650.9005773117.

The spelling of 275768064 in words is "two hundred seventy-five million, seven hundred sixty-eight thousand, sixty-four".