587280 has 40 divisors (see below), whose sum is σ = 1821312. Its totient is φ = 156544.

The previous prime is 587269. The next prime is 587281. The reversal of 587280 is 82785.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (587281) by changing a digit.

587280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 984 + ... + 1463.

2⁵⁸⁷²⁸⁰ is an apocalyptic number.

It is an amenable number.

587280 is an abundant number, since it is smaller than the sum of its proper divisors (1234032).

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

587280 is a wasteful number, since it uses less digits than its factorization.

587280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 587280 is about 766.3419602240. The cubic root of 587280 is about 83.7429785455.

The spelling of 587280 in words is "five hundred eighty-seven thousand, two hundred eighty".