275965920 has 192 divisors, whose sum is σ = 975421440. Its totient is φ = 72866304.

The previous prime is 275965919. The next prime is 275965927. The reversal of 275965920 is 29569572.

275965920 is a `hidden beast` number, since 2 + 7 + 59 + 6 + 592 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275965927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548389 + ... + 548891.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^275965920 is an apocalyptic number.

275965920 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 275965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

275965920 is an abundant number, since it is smaller than the sum of its proper divisors (699455520).

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

275965920 is a wasteful number, since it uses less digits than its factorization.

275965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 275965920 is about 16612.2220067034. Note that the first 3 decimals coincide. The cubic root of 275965920 is about 651.0562078504.

The spelling of 275965920 in words is "two hundred seventy-five million, nine hundred sixty-five thousand, nine hundred twenty".