658368 has 70 divisors (see below), whose sum is σ = 1966976. Its totient is φ = 217728.

The previous prime is 658367. The next prime is 658379. The reversal of 658368 is 863856.

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 658368.

It is not an unprimeable number, because it can be changed into a prime (658367) 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 9 ways as a sum of consecutive naturals, for example, 5121 + ... + 5247.

2⁶⁵⁸³⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 658368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983488).

658368 is an abundant number, since it is smaller than the sum of its proper divisors (1308608).

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

658368 is a wasteful number, since it uses less digits than its factorization.

658368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 658368 is about 811.3987922101. The cubic root of 658368 is about 86.9940542905.

The spelling of 658368 in words is "six hundred fifty-eight thousand, three hundred sixty-eight".