275364640 has 96 divisors (see below), whose sum is σ = 699560064. Its totient is φ = 102051840.

The previous prime is 275364631. The next prime is 275364641. The reversal of 275364640 is 46463572.

275364640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 275364640.

It is not an unprimeable number, because it can be changed into a prime (275364641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181485 + ... + 182995.

It is an arithmetic number, because the mean of its divisors is an integer number (7287084).

Almost surely, 2^275364640 is an apocalyptic number.

275364640 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 275364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349780032).

275364640 is an abundant number, since it is smaller than the sum of its proper divisors (424195424).

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

275364640 is a wasteful number, since it uses less digits than its factorization.

275364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 275364640 is about 16594.1146193462. The cubic root of 275364640 is about 650.5830193092.

The spelling of 275364640 in words is "two hundred seventy-five million, three hundred sixty-four thousand, six hundred forty".