678225312 has 120 divisors (see below), whose sum is σ = 2032688196. Its totient is φ = 221764608.

The previous prime is 678225293. The next prime is 678225329. The reversal of 678225312 is 213522876.

It can be written as a sum of positive squares in 2 ways, for example, as 673713936 + 4511376 = 25956^2 + 2124^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 134908 + ... + 139844.

Almost surely, 2^678225312 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 678225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016344098).

678225312 is an abundant number, since it is smaller than the sum of its proper divisors (1354462884).

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

678225312 is a wasteful number, since it uses less digits than its factorization.

678225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 4995 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 678225312 is about 26042.7593008114. The cubic root of 678225312 is about 878.6002678729.

The spelling of 678225312 in words is "six hundred seventy-eight million, two hundred twenty-five thousand, three hundred twelve".