678984 has 32 divisors (see below), whose sum is σ = 1788000. Its totient is φ = 214272.

The previous prime is 678971. The next prime is 678989. The reversal of 678984 is 489876.

It is a happy number.

It is a super-2 number, since 2×678984² = 922038544512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (55875).

678984 is a Friedman number, since it can be written as 8*(7^6-8)-4^9, using all its digits and the basic arithmetic operations.

2⁶⁷⁸⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

678984 is an abundant number, since it is smaller than the sum of its proper divisors (1109016).

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

678984 is a wasteful number, since it uses less digits than its factorization.

678984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1513 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 678984 is about 824.0048543546. The cubic root of 678984 is about 87.8927757409.

The spelling of 678984 in words is "six hundred seventy-eight thousand, nine hundred eighty-four".