678654100 has 54 divisors (see below), whose sum is σ = 1539612830. Its totient is φ = 259638720.

The previous prime is 678654083. The next prime is 678654107. The reversal of 678654100 is 1456876.

It can be written as a sum of positive squares in 3 ways, for example, as 104284944 + 574369156 = 10212^2 + 23966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 678654100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678654107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46486 + ... + 59314.

Almost surely, 2^678654100 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 678654100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769806415).

678654100 is an abundant number, since it is smaller than the sum of its proper divisors (860958730).

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

678654100 is a wasteful number, since it uses less digits than its factorization.

678654100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 678654100 is about 26050.9903842445. The cubic root of 678654100 is about 878.7853852570.

The spelling of 678654100 in words is "six hundred seventy-eight million, six hundred fifty-four thousand, one hundred".