678525984 has 144 divisors (see below), whose sum is σ = 2030857920. Its totient is φ = 222808320.

The previous prime is 678525973. The next prime is 678526027. The reversal of 678525984 is 489525876.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 678525984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551482 + ... + 552710.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2^678525984 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 678525984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015428960).

678525984 is an abundant number, since it is smaller than the sum of its proper divisors (1352331936).

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

678525984 is a wasteful number, since it uses less digits than its factorization.

678525984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1305 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 678525984 is about 26048.5313213624. The cubic root of 678525984 is about 878.7300828804.

The spelling of 678525984 in words is "six hundred seventy-eight million, five hundred twenty-five thousand, nine hundred eighty-four".