275894640 has 320 divisors, whose sum is σ = 1105643520. Its totient is φ = 61931520.

The previous prime is 275894609. The next prime is 275894657. The reversal of 275894640 is 46498572.

It is a happy number.

275894640 is a `hidden beast` number, since 2 + 7 + 589 + 4 + 64 + 0 = 666.

It is a super-2 number, since 2×275894640² = 152235704761459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1073392 + ... + 1073648.

It is an arithmetic number, because the mean of its divisors is an integer number (3455136).

Almost surely, 2^275894640 is an apocalyptic number.

275894640 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 275894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552821760).

275894640 is an abundant number, since it is smaller than the sum of its proper divisors (829748880).

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

275894640 is a wasteful number, since it uses less digits than its factorization.

275894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 275894640 is about 16610.0764597879. The cubic root of 275894640 is about 651.0001486546. Note that the first 3 decimals are identical.

The spelling of 275894640 in words is "two hundred seventy-five million, eight hundred ninety-four thousand, six hundred forty".