678993 has 24 divisors (see below), whose sum is σ = 1094400. Its totient is φ = 372960.

The previous prime is 678989. The next prime is 679033. The reversal of 678993 is 399876.

It is a happy number.

It is not a de Polignac number, because 678993 - 2² = 678989 is a prime.

It is a super-2 number, since 2×678993² = 922062988098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (678943) 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, 4483 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (45600).

2⁶⁷⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

678993 is a deficient number, since it is larger than the sum of its proper divisors (415407).

678993 is a wasteful number, since it uses less digits than its factorization.

678993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 678993 is about 824.0103154694. The cubic root of 678993 is about 87.8931640817.

The spelling of 678993 in words is "six hundred seventy-eight thousand, nine hundred ninety-three".