275089920 has 480 divisors, whose sum is σ = 1108375488. Its totient is φ = 57802752.

The previous prime is 275089897. The next prime is 275089921. The reversal of 275089920 is 29980572.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (275089921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6397419 + ... + 6397461.

Almost surely, 2^275089920 is an apocalyptic number.

275089920 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 275089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554187744).

275089920 is an abundant number, since it is smaller than the sum of its proper divisors (833285568).

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

275089920 is a wasteful number, since it uses less digits than its factorization.

275089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 275089920 is about 16585.8349201962. The cubic root of 275089920 is about 650.3665939945.

The spelling of 275089920 in words is "two hundred seventy-five million, eighty-nine thousand, nine hundred twenty".