678536352 has 180 divisors, whose sum is σ = 2162263950. Its totient is φ = 208645632.

The previous prime is 678536329. The next prime is 678536407. The reversal of 678536352 is 253635876.

678536352 is a `hidden beast` number, since 6 + 7 + 8 + 5 + 3 + 635 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 285069456 + 393466896 = 16884^2 + 19836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 678536298 and 678536307.

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 29 ways as a sum of consecutive naturals, for example, 437274 + ... + 438822.

Almost surely, 2^678536352 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 678536352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081131975).

678536352 is an abundant number, since it is smaller than the sum of its proper divisors (1483727598).

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

678536352 is a wasteful number, since it uses less digits than its factorization.

678536352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1567 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 678536352 is about 26048.7303337418. The cubic root of 678536352 is about 878.7345585759.

The spelling of 678536352 in words is "six hundred seventy-eight million, five hundred thirty-six thousand, three hundred fifty-two".