672588 has 72 divisors (see below), whose sum is σ = 2070432. Its totient is φ = 179712.

The previous prime is 672587. The next prime is 672593. The reversal of 672588 is 885276.

672588 is a `hidden beast` number, since 6 + 72 + 588 = 666.

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

It is a nialpdrome in base 15.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 672588.

It is not an unprimeable number, because it can be changed into a prime (672587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4206 + ... + 4362.

It is an arithmetic number, because the mean of its divisors is an integer number (28756).

2⁶⁷²⁵⁸⁸ is an apocalyptic number.

672588 is a gapful number since it is divisible by the number (68) 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 672588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035216).

672588 is an abundant number, since it is smaller than the sum of its proper divisors (1397844).

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

672588 is a wasteful number, since it uses less digits than its factorization.

672588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

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

The square root of 672588 is about 820.1146261347. The cubic root of 672588 is about 87.6159225451.

The spelling of 672588 in words is "six hundred seventy-two thousand, five hundred eighty-eight".