658560 has 128 divisors (see below), whose sum is σ = 2448000. Its totient is φ = 150528.

The previous prime is 658549. The next prime is 658573. The reversal of 658560 is 65856.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94077 + ... + 94083.

It is an arithmetic number, because the mean of its divisors is an integer number (19125).

2⁶⁵⁸⁵⁶⁰ is an apocalyptic number.

658560 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 658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224000).

658560 is an abundant number, since it is smaller than the sum of its proper divisors (1789440).

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

658560 is an equidigital number, since it uses as much as digits as its factorization.

658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 658560 is about 811.5170977866. The cubic root of 658560 is about 87.0025101667.

658560 divided by its sum of digits (30) gives a cube (21952 = 28³).

Multiplying 658560 by its product of nonzero digits (7200), we get a cube (4741632000 = 1680³).

Subtracting from 658560 its reverse (65856), we obtain a cube (592704 = 84³).

The spelling of 658560 in words is "six hundred fifty-eight thousand, five hundred sixty".