273680 has 40 divisors (see below), whose sum is σ = 696384. Its totient is φ = 99200.

The previous prime is 273653. The next prime is 273697. The reversal of 273680 is 86372.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 725 + ... + 1035.

2²⁷³⁶⁸⁰ is an apocalyptic number.

273680 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 273680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192).

273680 is an abundant number, since it is smaller than the sum of its proper divisors (422704).

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

273680 is a wasteful number, since it uses less digits than its factorization.

273680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 273680 is about 523.1443395469. The cubic root of 273680 is about 64.9253581058.

The spelling of 273680 in words is "two hundred seventy-three thousand, six hundred eighty".