273528960 has 128 divisors (see below), whose sum is σ = 880545600. Its totient is φ = 72216576.

The previous prime is 273528953. The next prime is 273528961. The reversal of 273528960 is 69825372.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (273528961) 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, 208627 + ... + 209933.

Almost surely, 2^273528960 is an apocalyptic number.

273528960 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 273528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440272800).

273528960 is an abundant number, since it is smaller than the sum of its proper divisors (607016640).

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

273528960 is a wasteful number, since it uses less digits than its factorization.

273528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 273528960 is about 16538.7109533966. The cubic root of 273528960 is about 649.1341212184.

The spelling of 273528960 in words is "two hundred seventy-three million, five hundred twenty-eight thousand, nine hundred sixty".