658320 has 80 divisors (see below), whose sum is σ = 2208192. Its totient is φ = 161280.

The previous prime is 658319. The next prime is 658321. The reversal of 658320 is 23856.

It is an interprime number because it is at equal distance from previous prime (658319) and next prime (658321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (658321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015 + ... + 3225.

2⁶⁵⁸³²⁰ is an apocalyptic number.

658320 is a gapful number since it is divisible by the number (60) 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 658320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104096).

658320 is an abundant number, since it is smaller than the sum of its proper divisors (1549872).

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

658320 is a wasteful number, since it uses less digits than its factorization.

658320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 658320 is about 811.3692131206. The cubic root of 658320 is about 86.9919400645.

It can be divided in two parts, 65 and 8320, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 658320 in words is "six hundred fifty-eight thousand, three hundred twenty".