588672 has 96 divisors (see below), whose sum is σ = 1962480. Its totient is φ = 165888.

The previous prime is 588667. The next prime is 588673. The reversal of 588672 is 276885.

588672 is a `hidden beast` number, since 588 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 588672.

It is not an unprimeable number, because it can be changed into a prime (588673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8028 + ... + 8100.

2⁵⁸⁸⁶⁷² is an apocalyptic number.

588672 is the 384-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981240).

588672 is an abundant number, since it is smaller than the sum of its proper divisors (1373808).

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

588672 is a wasteful number, since it uses less digits than its factorization.

588672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 588672 is about 767.2496334310. The cubic root of 588672 is about 83.8090902509.

The spelling of 588672 in words is "five hundred eighty-eight thousand, six hundred seventy-two".