678093120 has 140 divisors (see below), whose sum is σ = 2412188724. Its totient is φ = 180817920.

The previous prime is 678093089. The next prime is 678093139. The reversal of 678093120 is 21390876.

It can be written as a sum of positive squares in 2 ways, for example, as 205291584 + 472801536 = 14328^2 + 21744^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12840 + ... + 39000.

Almost surely, 2^678093120 is an apocalyptic number.

678093120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206094362).

678093120 is an abundant number, since it is smaller than the sum of its proper divisors (1734095604).

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

678093120 is a wasteful number, since it uses less digits than its factorization.

678093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26190 (or 26171 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 678093120 is about 26040.2211972172. The cubic root of 678093120 is about 878.5431818912.

The spelling of 678093120 in words is "six hundred seventy-eight million, ninety-three thousand, one hundred twenty".