275390640 has 240 divisors, whose sum is σ = 1069413696. Its totient is φ = 62208000.

The previous prime is 275390587. The next prime is 275390657. The reversal of 275390640 is 46093572.

275390640 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 9 + 0 + 640 = 666.

275390640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 275390595 and 275390604.

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, 508770 + ... + 509310.

Almost surely, 2^275390640 is an apocalyptic number.

275390640 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 275390640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534706848).

275390640 is an abundant number, since it is smaller than the sum of its proper divisors (794023056).

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

275390640 is a wasteful number, since it uses less digits than its factorization.

275390640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 275390640 is about 16594.8980111358. The cubic root of 275390640 is about 650.6034947367.

The spelling of 275390640 in words is "two hundred seventy-five million, three hundred ninety thousand, six hundred forty".