678953952 has 72 divisors (see below), whose sum is σ = 1935919440. Its totient is φ = 225715200.

The previous prime is 678953941. The next prime is 678953953. The reversal of 678953952 is 259359876.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678953953) 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 11 ways as a sum of consecutive naturals, for example, 112549 + ... + 118427.

It is an arithmetic number, because the mean of its divisors is an integer number (26887770).

Almost surely, 2^678953952 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 678953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967959720).

678953952 is an abundant number, since it is smaller than the sum of its proper divisors (1256965488).

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

678953952 is a wasteful number, since it uses less digits than its factorization.

678953952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6285 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 678953952 is about 26056.7448465843. The cubic root of 678953952 is about 878.9147917575.

The spelling of 678953952 in words is "six hundred seventy-eight million, nine hundred fifty-three thousand, nine hundred fifty-two".