678504960 has 360 divisors, whose sum is σ = 2738051316. Its totient is φ = 154828800.

The previous prime is 678504949. The next prime is 678504961. The reversal of 678504960 is 69405876.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 9144576 = 25872^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678504961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128660 + ... + 1129260.

Almost surely, 2^678504960 is an apocalyptic number.

678504960 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 678504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369025658).

678504960 is an abundant number, since it is smaller than the sum of its proper divisors (2059546356).

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

678504960 is a wasteful number, since it uses less digits than its factorization.

678504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 678504960 is about 26048.1277638144. The cubic root of 678504960 is about 878.7210070245.

The spelling of 678504960 in words is "six hundred seventy-eight million, five hundred four thousand, nine hundred sixty".