678972 has 48 divisors (see below), whose sum is σ = 1854720. Its totient is φ = 189312.

The previous prime is 678971. The next prime is 678989. The reversal of 678972 is 279876.

678972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×678972² = 922005953568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 678972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4888 + ... + 5024.

It is an arithmetic number, because the mean of its divisors is an integer number (38640).

2⁶⁷⁸⁹⁷² 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 678972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927360).

678972 is an abundant number, since it is smaller than the sum of its proper divisors (1175748).

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

678972 is a wasteful number, since it uses less digits than its factorization.

678972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 678972 is about 823.9975728120. The cubic root of 678972 is about 87.8922579479.

Subtracting from 678972 its product of digits (42336), we obtain a palindrome (636636).

The spelling of 678972 in words is "six hundred seventy-eight thousand, nine hundred seventy-two".