658980 has 72 divisors (see below), whose sum is σ = 2288832. Its totient is φ = 150336.

The previous prime is 658979. The next prime is 658991. The reversal of 658980 is 89856.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 658980.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 999 + ... + 1521.

2⁶⁵⁸⁹⁸⁰ is an apocalyptic number.

658980 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 658980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144416).

658980 is an abundant number, since it is smaller than the sum of its proper divisors (1629852).

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

658980 is a wasteful number, since it uses less digits than its factorization.

658980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 658980 is about 811.7758311258. The cubic root of 658980 is about 87.0210016678.

It can be divided in two parts, 65 and 8980, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 658980 in words is "six hundred fifty-eight thousand, nine hundred eighty".