678633648 has 160 divisors (see below), whose sum is σ = 2256617472. Its totient is φ = 170553600.

The previous prime is 678633643. The next prime is 678633649. The reversal of 678633648 is 846336876.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 678633648.

It is not an unprimeable number, because it can be changed into a prime (678633643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 111615 + ... + 117537.

Almost surely, 2^678633648 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 678633648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128308736).

678633648 is an abundant number, since it is smaller than the sum of its proper divisors (1577983824).

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

678633648 is a wasteful number, since it uses less digits than its factorization.

678633648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5977 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 678633648 is about 26050.5978434277. The cubic root of 678633648 is about 878.7765574416.

The spelling of 678633648 in words is "six hundred seventy-eight million, six hundred thirty-three thousand, six hundred forty-eight".